Answers
The line graph is represented by the equation y=[tex]\frac{-4x}{3}[/tex].
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=7x+8. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=7 and b=8.
The linear equation is represented graphically as a straight line.
From the given graph you can extract the coordinates of the line. See
x y
-3 4
0 0
3 -4
From the coordinates (-3,4) and (3, -4), you can write a linear system for finding the coefficients.
y=mx+b
4= -3m+b (1)
-4= 3m+b (2)
Sum equations 1 and 2, you find b:
0=0+2b
b=0
If b=0 from equation 1, you find m:
4=-3m+b
4=-3m+0
m=-4/3
Like, the linear equation is written by y=mx+b, you have y=[tex]\frac{-4x}{3}[/tex]
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Related Questions
fast as you can. point slope form. algebra 1)
Answers
Answer: Y=mx+b
Step-by-step explanation:
Sam is using these numbers to make a new
number.
12
1
1
4
7
He can only use brackets, +, -, x, ÷ once.
He cannot use any number more than once.
He cannot use powers.
He cannot put numbers together
e.g. he cannot use '147'.
What is the biggest number he can make?
Show how he can make this number.
Answers
Answer:
87
Step-by-step explanation:
12x7+4-1/1
Answer: 741
Step-by-step explanation:
The biggest number Sam can make is 741. He can make this number by using the brackets and the division symbol: (12 + 1 + 1) / 4 = 741.
Michael is building a skateboard
ramp. The ramp needs to include a
right angle to be safe. If the side
lengths are 10 feet, 2.5 feet, and 10.5
feet, will the ramp be safe? Prove
your answer with an inequality.
Answers
To prove this using an inequality, we can represent the side lengths using the variables x, y, and z, where x is the longest side length, y is one of the shorter side lengths, and z is the other shorter side length. We can then write the inequality as follows:
x ≤ y + z
In this case, we have:
x = 10 feet
y = 2.5 feet
z = 10.5 feet
Substituting these values into the inequality, we get:
10 ≤ 2.5 + 10.5
which simplifies to:
10 ≤ 13
Since 10 is not less than or equal to 13, the inequality is not true, and the ramp will not be safe.
Given that the side lengths of the ramp are 10 feet, 2.5 feet, and 10.5 feet.
We know that for making a right angle A Pythagoras triplet must follow
So, a² + b² = c²
Where a, b, c are the lengths of the triangle and a, b <=c
So, on applying the above formula
We have,
2.5² + 10² = 10.5²
6.25 + 100 = 110.25
But 106.25 is not equal to 110.25
So all these sides are not good for making the ramp safe.
There are three types of the triangle based on angle -
1. Acute angled triangle
2. Right-angled triangle
3. Obtuse angled triangle
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y= 1/2x + 1
y=-x + 7
Answers
Answer: point form: (4,3) equation form: x=4 y=3
Step-by-step explanation:
1. Which of the following is equivalent to 5a³ + 4a³??
O (5+4) a³+3
O (5+4) a³
(5.4) a³+3
O (5.4) a³
ہے
Answers
The equivalent to 5a³ + 4a³ is (5+4) a³, according to the question.
What do you mean by Equivalent ?
Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.
According to the given question,
We have the given options are:
O (5+4) a³+3
O (5+4) a³
O (5.4) a³+3
O (5.4) a³
Now, we will find the equivalent,
5a³ + 4a³
Then, we will taking common factor from the given equation:
5a³ + 4a³
= a³(5+4)
So that is same as (5+4)a³.
Therefore, the equivalent to 5a³ + 4a³ is (5+4) a³.
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▲DEF has vertices D (-2 ,1 ), E (2,4), and F (3,1) and is dilated by a factor of 3 using the point (1,1) as the point of dilation. The dilated triangle is names ▲D'E'F'.
If your answer is useless then don't answer because last time someone typed random stuff and I was left answerless.
Answers
The dilated triangle is names ▲D'E'F' ,
Vertex D' → ( -8, 1)
Vertex E' → (4, 10)
Vertex F' → (7, 1)
What is dilation ?
Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though. A dilatation should either enlarge or decrease the initial form. By using the phrase "scaling factor," this transition is described.
Enlargement is the name given to a dilatation that results in a larger image.
Reduction is what happens when a dilatation results in a smaller picture.
According to question
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':
[tex]D_{(O,k)}(x,y) = (k(x-a) +a, k(y-b) +b)[/tex]
Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:
(a,b) = (1,1)
k = 3
Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → [tex](3(-2-1) +1, 3(1-1) +1) = (-8, 1)[/tex]
Vertex E' → [tex](3(2-1) +1, 3(4-1) +1) =(4,10)[/tex]
Vertex F' →[tex](3(3-1) +1, 3(1-1) +1) =(7,1)[/tex]
hence the vertex of ▲D'E'F' are (D' → ( -8, 1), E' → (4, 10), F' → (7, 1).)
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-3-2-1
M
What is the Rate of Change of this Graph?
What is the equation for this graph? Y=
(Do not include X)
(Do not include Y=)
Answers
Solution. To graph f, we graph the equation y=f(x).
To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.
[tex]$$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$[/tex]
So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.
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A play company is having two shows. In the morning show, chairs are set up in rows of 11 chairs. For the afternoon show, the number of chairs in each row was 4 more than the original number of rows. Then, 8 more rows are set up. If r represents the original number of rows set up for the morning show, which of the following functions will give the total number of chairs set up for the afternoon show?
A.
C(r) = r2 + 19r + 88
B.
C(r) = 11r2 + 88r
C.
C(r) = 15r2 + 120
D.
C(r) = r2 + 12r + 32
Answers
Word puzzles that need two operations to solve them are known as two-step problems.
What are two-step and multi-step problems?A word problem is a short passage that describes a situation from "real life" in which a mathematical calculation is required to resolve a problem.Word or story problems are regarded as an essential component of learning in the primary curriculum because they require students to apply their understanding of various concepts to situations that are representative of "real-life" situations. Because of this, math teachers make a point of including word problems in as many of their lessons as they can.Word puzzles also assist kids in becoming more familiar with the language and concepts of mathematics, such as the words reduced, altogether, difference, more, share, multiply, and more.Word problems that must be solved in two steps include the following:In addition to a 45p pencil, I also purchase an 83p magazine. I purchase the items I want using a voucher that saves me 20p. I spend how much.
Addition (83p + 45p = £1.28) would be the initial operation in this scenario.
(£1.28 - 20p = £1.08) is the second procedure.
The Complete Question is two-step problems.
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is 4x^2 + 8 =12 a linear equation
Answers
No, [tex]4x^{2} +8=12[/tex] is not a linear equation
What is linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
No, [tex]4x^{2}+8=12\\4x^{2} -4=0[/tex]is not a linear equation because An equation is said to be linear if the maximum power of the variable is consistently 1.
This is a quadratic equation, because quadratic equation has a maximum power of 2.
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what is the z-score of a value 20 from a binomial distribution with 50 trials and probability 0.76 of success? round your answer to three decimal places. incorrect answer:
Answers
z-score of a value is -5.96
What is z-score in binomial distribution?
The Z score represents the number of standard deviations above or below the mean. The Z score of the mean is 0 by definition.
What is Probability?
The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.
Given,
A random variable, let's call it X, has parameters that fit the Binomial distribution: n (number of trials) = 50 and p (success probability) 0.76.
We must ascertain the z-score (Z) of the value 20 = that this random variable X has chosen.
Now, for a random variable, say X, its z-score (Z) is defined as ,
Z = (X - mean of X)/ Standard deviation of X
A binomial random variable with the parameters once more n and p, its mean is given as np and its standard deviation is given as [tex]\sqrt{n*p*(1-p)}[/tex]
The standard deviation of X is provided as [tex]\sqrt{50*0.76*0.24}[/tex] = [tex]\sqrt{9.12}[/tex] = 3.0199933 while the mean of X is given as 50*0.76 = 38.
Therefore, the required z-score (Z) for X = 20, is given as,
Z = 20-38/3.0199933
Z= -5.9602781238
Z= -5.96 that is the necessary z-score.
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A music store marks up the instruments it sells by 50%. If the mark up price on the trumpet was $120, what was the ORIGINAL PRICE of the instrument?
Answers
The original price of the instrument is $60.
Discount Price:
50% of 120 = 50/100 * 120
= 0.5 * 120
= 60
Original Price = Sale Price - Discount Price
= 120 - 60
= 60
Therefore, the original price of the instrument is $60.
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If ƒ(x) = x³ + 3x² – 22x – 24 and
f(-1) = 0, then find all of the zeros of
f(x) algebraically.
Answers
The value of k of the given polynomial is gotten as; k = -10
What are the roots of the polynomial?The values of a variable for which the provided polynomial equals zero are referred to as a polynomial's roots.
P(a) = 0 if an is the polynomial's root for x.
By setting each factor to 0, you can get the roots, or solutions, of the polynomial equation P(x) = 0 by figuring out what x is.
Factor the polynomial equation to find the solution.
Set each factor to a value of 0, for as 2x4 = 0, (x - 6), or (x + 1).
Do the x math.
We are given the polynomial as;
f(x) = x³ - 3x² + kx + 24
We are given the roots of the Polynomial as; 4, -3, and 2
The roots of a polynomial are the values of x that make y to be equal to zero. Thus, let us plug in 2 into the polynomial to find x.
0 = 2³ - 3(2²) + k(2) + 24
0 = 8 - 12 + 2k + 24
2k = -20
k = -20/2
k = -10
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Solve 945 divided by 9 =
O 105
O 105 2/9
O 105 5/9
O 105 8/9
GIVING BRAINLIEST
Answers
945 divided by 9 = 105.
What is divided?
In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, ",÷" or occasionally "/," is used in computer code.
If the sum of the digits is not divisible by 9, then 945 is not divisible by 9.
The sum of the digits is calculated as follows:
9 + 4 + 5 = 18
18 is divisible by 9
[tex]\frac{945}{9}$$[/tex]
Write the problem in long division format
[tex]9 \longdiv { 9 4 5 }[/tex]
Divide 9 by 9 to get 1
[tex]$$\begin{gathered}91 \\\frac{1}{945} \\\frac{9}{04}\end{gathered}$$[/tex]
Divide 4 by 9 to get 0
[tex]$$\begin{gathered}910 \\\frac{10}{945} \\\frac{0}{45}\end{gathered}$$[/tex]
Divide 45 by 9 to get 5
[tex]$$\begin{gathered}9105 \\\frac{9}{045} \\\underline{4} \\\frac{45}{0}\end{gathered}$$[/tex]
The solution for Long Division of [tex]$\frac{945}{9}$[/tex] is 105
105
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state the mean-value theorem for derivatives. can the mean-value theorem be used to conclude that v(t) was never zero on the interval [0, ln 2]? why or why not?
Answers
V(t) was never zero on the interval [ 0, ln 2] according to the mean-value theorem.
what is mean value theorem of derivatives ?According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).
given
Assume that f: [a, b] R and that f has a local maximum or minimum at x0 (a, b). F 0 (x0) = 0 if f is differentiable at x0.
Proof: Let's assume that f has a local maximum at x0 (a, b). When h is small enough, f(x0 + h) f. (x0).
f(x0 + h) f(x0) h 0 if h > 0 else.
Similar to this, f(x0 + h) f(x0) h 0 if h 0.
As a result of fundamental limit qualities, f
We point out that if x0 is either an or b, the prior theorem is invalid. For instance, f has a maximum at 1 but f 0 (x) = 1 for all x [0, 1] if we take the function f: [0, 1] R such that f(x) = x.
V(t) was never zero on the interval [0, ln 2] according to the mean-value theorem.
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Which shows the expression below simplified?
0.032 ÷ (8 × 10-2)
A.
4 × 10-2
B.
4 × 10-1
C.
-4.8 × 10-1
D.
4 × 100
Answers
Answer:
B
Step-by-step explanation:
[tex]\frac{0.032}{8 \times 10^{-2}}=\frac{32 \times 10^{-3}}{8 \times 10^{-2}}=4 \times 10^{-1}[/tex]
What is the slope intercept form of the linear equation 4x - 5y = 20
Answers
The solution is y = ( 4/5 )x - 4
The slope intercept form of the equation is y = ( 4/5 )x - 4 where the slope of the line is 4/5 and the y intercept is -4
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is given as
4x - 5y = 20 be equation (1)
On simplifying the equation , we get
Adding 5y on both sides of the equation , we get
5y + 20 = 4x
Subtracting 20 on both sides of the equation , we get
5y = 4x - 20
Divide by 5 on both sides of the equation , we get
y = ( 4/5 ) x - 4
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Therefore , the value of A is y = ( 4/5 ) x - 4
Hence , The slope intercept form of the equation is y = ( 4/5 )x - 4
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Triangle OPQ is shown below with line RS passing through points R and S:
R
S
If triangle OPQ is dilated about the center of the triangle to create triangle O'P'Q', what can you
conclude about segments RS and R'S'? (6 points)
Segment O'Q' is perpendicular to segment R'S'.
Line RS is parallel to line R'S'.
Line RS is perpendicular to line R'S:
Point P' passes through line RS.
Answers
Dilation is a type of transformation. So it can concluded that: Line RS is parallel to line R'S'.
Transformation is a method required to either increase or decrease the size of a given object, or change its orientation. Types of transformation are dilation, translation, rotation and reflection.
Dilation is a process in which the size of a given shape or figure is reduced or increased appropriately to form an image.
Two lines are said to be perpendicular when the measure of angle between is a right angle. While two or more lines are said to be parallel is the measure of angle between them is that of a straight line.
Thus, the appropriate statement that would be concluded considering the conditions in the question is line RS is parallel to line R'S'.
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the table shows the number of stickers three friends have, Hannah has fewer stickers than Marco but more stickers than Addison. how many stickers could Hannah have?
Answers
Zehra owns a bakery and is getting ready for the Thanksgiving rush. She needs to stock up on pumpkin pie filler to be able to meet demand, so she begins buying a constant number of cans of pumpkin pie filler per week. After 5 weeks, she has 29 cans. After 9 weeks, she has 57 cans. How many cans is she buying per week?
Answers
Based on the rate of change, Zehra is buying 7 cans per week.
What is the rate of change?The rate of change gives the ratio between the change in one quantity to the change in another quantity.
Linear relationships have a constant rate of change and the rate of change is usually represented as the slope or gradient.
For instance, the number of cans changed from 29 to 57, a difference of 28, as the number of weeks changed from 5 to 9, a difference of 4.
The rate of change can be expressed as 28/4 or 7.
The number of cans after 5 weeks = 29
The number of cans after 9 weeks = 57
The change in weeks = 4 (9 - 5)
The change in the number of cans = 28 (57 - 29)
The rate of change = 7 (28/4)
Thus, we can conclude that Zehra buys 7 cans weekly.
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Enter the measurement of the vehicle part.
Answers
Answer:
2 1/4
Step-by-step explanation:
I know bc its basic math
There are five cookies for friends want to share them evenly. How much would each friend get show your answer in two different ways?
Answers
From the four friends, each friend gets 1.25 or 5/4 cookies.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Total number of cookies = 5.
Also, four friends want to share them evenly.
To find the cookies, shared equally, each friend gets,
Use ratio property,
4 friends get = 5 cookies,
1 friend gets = 5/4 cookies,
Or 1 friend gets = 1.25 cookies.
Therefore, each friend gets 1.25 or 5/4 cookies.
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A) Q''(−5, 6), R''(−2, 1), S''(1, 5)
B) Q''(7, 11), R''(10, 16), S''(13, 12)
C) Q''(−5, 2), R''(−2, 7), S''(1, 3)
D) Q''(13, 2), R''(10, 7), S''(7, 3)
Answers
The correct answer is C.
Find the inverse of the following function. f(x) 8√ x for x > 0
Answers
Answer: The inverse of a function is found by switching the positions of the input and output values in the function. For example, if the function is f(x) = 2x, the inverse would be f<sup>-1</sup>(x) = x/2.
In the case of the given function, f(x) = 8√ x, the inverse can be found by switching the positions of the input and output values. This gives us f<sup>-1</sup>(x) = √ x/8. This means that if x is the input value, the output value will be √ x/8. Note that the domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function. In this case, the domain of f<sup>-1</sup>(x) is [0, ∞) and the range is [0, ∞), since these are the range and domain of the original function.
Here is the complete inverse function:
f<sup>-1</sup>(x) = √ x/8 for x > 0.
Identify the rate of decay r (as a percent) of the exponential function f(x) = 0.3(0.82)^x
a. r = 30%
b. r = 18%
c. r = 70%
d. r = 82%
Answers
Answer:
b. r = 18%
Step-by-step explanation:
0.3(0.82)^x:
0.3(0.82)^x:
The 0.82 is getting affected since it is raised to the power of x
Hence, for every iteration of x, the object is becoming 82% of itself.
100%-82%=18%
r = 18% ==> b
Option B is correct, 18% is the rate of decay of the exponential function f(x) = 0.3(0.82)ˣ
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential function f(x) = 0.3(0.82)^x can be written in the form f(x) = a(b)ˣ, where a = 0.3 and b = 0.82.
In an exponential function of the form f(x) = a(b)ˣ
the base b represents the rate of change.
If b is between 0 and 1, then the function represents exponential decay. The rate of decay r can be found using the formula:
r = (1 - b) x 100%
In this case, b = 0.82, so the rate of decay is:
r = (1 - 0.82) x 100%
= 0.18 x 100%
= 18%
Hence, option B is correct, 18% is the rate of decay of the exponential function f(x) = 0.3(0.82)ˣ
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HELP WITH NUMBER 4 PLEASE
Answers
Amount = $404.01
Second Period Interest = $ 2.01.
What is Compound Interest ?The interest that is computed using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Different methods can be used to compute compound interest depending on the circumstance. To make the computations simpler, we may utilise the compound interest formula. We need to know the quantity and the principal in order to compute compound interest. The difference between the two is the principle.
In this problem,
Principal = $ 400
Rate(r) = 6% (annually)
Compounded monthly., n =12
Second Period of interest is the 2nd Month = [tex]\frac{2}{12} \ of \ a \ year = \frac{1}{6} \ of \ a \ year[/tex].(t)
Amount Generated (A)
= [tex]P(1 + \frac{r}{n})^{nt}[/tex] = [tex]400(1 + \frac{6}{12 * 100})^{12*\frac{1}{6} } = 400(1 + \frac{1}{200})^{2} = 404.01[/tex]
Amount = $404.01
Second Period Interest = 2nd Period Amount - 1st period Amount = 404.01 - 402 = $ 2.01.
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2
Write the answer in each blank.
Of these numbers
745 281 578 170
is the smallest
is the largest
Answers
Hope this helps :)
both random sampling and non-random sampling allow us to use sampling distributions. group of answer choices true false
Answers
The answer for this question is false.
We know that about the sampling distribution, for this case is what is the probability that we obtain his sample this extreme?
So let's say the meanest zero here we obtained samples or Have it. That's a Z score of 2.86 from the Normal Distribution,
for example, that would be a very extreme sample. And we want to find what is the probability that we selected sample?
If the null hypothesis is true, However, what is non random means there are biases, then the bias will cause the result to be either larger or you lower than the population mean also called the population average or 'u'. Not by chance, but by human selection. So which prevents us from drawing any definitive conclusion from our results.
Hence, the answer is False.
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the amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. what are the independent and dependent variables in this function?
Answers
The independent and dependent variables in this function are order p Variable
Mathematically, discrete random variables are stated to be impartial if: P(X=x, Y=y) = P(X=x) P(Y=y), for all x,y. Intuitively, for impartial random variables understanding the price of one in every of them, does now no longer extrade the chances of the opposite. The impartial variable is the cause. Its price is impartial of different variables for your study.
The structured variable is the effect. Its price relies upon on adjustments withinside the impartial variable.An impartial variable is precisely what it sounds like. It is a variable that stands on my own and isn't always modified with the aid of using the opposite variables you are attempting to measure. For example, a persons age is probably an impartial variable.
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are these lines parallel perpendicular or neither 3y+2x=9 and y=-2/3x-4
Answers
Answer:
Hi!
The answer is parallel
I hope this helped you! :)
What does y equal, in this picture with 30 60 90 triangles?
Answers
The value of y= 5.49≈ 5.5cm
What is 30-60-90 traingle?
The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.
By 30-60-90 triangle rule,
Side across 60° angle = x
Hypotenuse side = 2x= 15
Side across 30° angle = x√3
By solving,
2x= 15
x= 7.5cm
So side across 60° angle= 7.5 cm
Side across 30° angle = 7.5×√3
= 7.5× 1.732= 12.99≈ 13cm
As the figure given us square so,
13= 7.5+y
y= 13-7.5
y= 5.5 cm
To know more about 30-60-90 triangle:
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