Answer:
See explanation
Step-by-step explanation:
The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.
A similar question that can be found online is:
[tex]8x - 8 = 4x + 12[/tex] --- to solve for x
First, collect all like terms
[tex]8x - 4x = 8 + 12[/tex]
Distribute the expression on the left-hand side
[tex]x(8 - 4) = 8 + 12[/tex]
[tex]x * 4 = 8 + 12[/tex]
Simplify like terms
[tex]x * 4 = 20[/tex]
Divide both sides by 4
[tex]x = 5[/tex]
Use the graph below for this question:
what is the average rate of change from x = 0 to x = 2?
a) 3
b) -1
c) 2
d) -2
The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.
Slope formula: (y2 - y1) / (x2 - x1)
Point 1: (0,4)
Point 2: (2,8)
(8 - 4) / (2 - 0)
4 / 2
2
The average rate of change from x = 0 to x = 2 is 2.
Hope this helps!
A) 78.5 cm
B) 4.7cm
C) 5.8cm
D) 23.0 cm
Answer:
The answer to this would be B.) 4.7 cm
Step-by-step explanation:
Arch = (Angle/360)(2[tex]\pi[/tex]r)
= (45/360)(2[tex]\pi[/tex]6)
= (0.125)(12[tex]\pi[/tex])
=1.5[tex]\pi[/tex]
≈4.71cm (assuming [tex]\pi[/tex] = 3.14)
Since an arch of a circle is just part of the circumference, you just need to multiply the circumference by the measure of the arch's angle divided by 360 (the angle measure of a circle).
What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4
[tex] - \frac{2}{5} [/tex]
Find the value of x. Round the length to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]
0.4663 * 11 = x
x = 5.1293
x = 5.1
In this figure BAE = DEA. Which statement is true by CPCTC?
BEA=BEC
GAE=GFA
DGE=FGA
FGB=FGE
Answer:
Step-by-step explanation:
The result of dividing (x3 + x2 – 22x – 40) by
(x – 5) is x2 + 6x + 8. Select all of the factor(s) of x2 + 6x + 8.
(x – 4)
(x + 4)
(x – 2)
(x + 2)
Answer: b and d
Step-by-step explanation:
edge21/22
Write the greatest 4 digit number and express in prime numbers.
Answer:
9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.
Step-by-step explanation:
Find the range of f(x) = 5x - 4 for the domain = {2, 4, 6}]
Answer:
Step-by-step explanation:
For this question they are asking you to find y when x is {2, 4, and 6}
That means you need to plug 2,4, and 6 into the equation and solve.
For example:
f(x) = 5x - 4
f(2) = 5(2) - 4
f(2) = 10 - 4
f(2) = 6
f(x) = 5x - 4
f(4) = 5(4) -4
f(4) = 20 - 4
f(4) = 16
f(x) = 5x - 4
f(6) = 5(6) - 4
f(6) = 30 - 4
f(6) = 26
Answer:
6,16,26 is the answer
Step-by-step explanation:
A number is equal to three times a smaller number also the sum of the smaller number and four is the larger number the situation is right on the corner playing below where X represents the smaller number and why represents the larger number
Answer:
I'm assuming that "why" is not part of this problem so this too is not answerable
what is the value of g(2)?
Answer:
g(2)=1
Step-by-step explanation:
We need to use the second definition of the function since x=2
g(2) = 2^3 -9(2)^2 +27(2) -25
= 8-9(4) +54 -25
= 8-36+54-25
= 1
Solve for 2. Round to the nearest tenth of a degree, if necessary.
D
to
64
с
37
B
PLS HEP
Step-by-step explanation:
sin X = 37/64
sin X = .578
X = sin ^-1 (.578)
X = 35.3°
hope it's correct
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
what is -1/4 as a decimal? help me!!
Answer:
- 0.25
Step-by-step explanation:
Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.
can i get some help please
Answer:
(1,-5)
Step-by-step explanation:
4x + 2y = -6
-3x -2y = 7
in this case you can just add the two items together
x = 1
4(1) + 2y = -6
2 y = -10
y = -5
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
SOMEONEEEEE PLEASEEEEEE HELPPPPP MEEEEEEEEE ASAPPPP!!
Answer:
8/15
Step-by-step explanation:
Since this is a right triangle
tan C = opp side / adjacent side
tan C = 8/15
Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m
Find the area of just the trench.
Answer:
Area of the rectangular trench = 1 square meter
Step-by-step explanation:
length of the garden = 2 1/2 m width of the garden = 2 m
length of both garden and trench = 3 1/2 m
width of both garden and trench = 3m
Length of the trench = Difference in length
= 3 1/2 m - 2 1/2 m
= 7/2 - 5/2
= (7 - 5) / 2
= 2/2
= 1 m
Length of the trench = 1 m
Width of the trench = difference in width
= 3 m - 2 m
= 1 m
Width of the trench = 1 m
Area of the rectangular trench = length × width
= 1 m × 1 m
= 1 m²
Or
1 square meter
Area of the rectangular trench = 1 square meter
similar right triangles, i need help with this please
Answer:
Step-by-step explanation:
the answer is a)
SMART PPL PLEASE LOOK AT THIS I BEG YOU AND I WILL DO ANYTHING U WANT!!
Answer:
the real answer is
2X/19
please help I will give 10 points
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find AP.
Answer:
5
Step-by-step explanation:
because line PF DIVIDED LINE BPA INTO TWO EQUAL HALF THEREFORE LINE BP IS EQUAL TO LINE AB WHICH IS EQUAL TO 5
The required value of the PV is 12 in the triangle DEF where p is the incenter.
Given; Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
What is incenter?The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle.
In expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in the triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image given,
PW = 12
So by the property of the incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Therefore, the required value of the PV is 12 in triangle DEF where p is the incenter.
Learn more about incenter here:
brainly.com/question/27868922
#SPJ2
Find questions attached.
Show workings.
You can skip question (a)
The value of x is 40°
Answer:
Solution given:
In triangle BCE
<C+<B+<E=180°[sum of interior angle of a triangle]
<C+60°+x°=180°
<C=180°-60°-x°
<C=120°-x°
again
<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]
2x=120-x
2x+x=120°
3x°=120°
x°=120°/3°
x°=40°
Now we have to,
find the required value of x.
Then in ∆ BCE,
By sum of interior angle of a triangle.
→ <C+<B+<E = 180°
→ <C+60°+x = 180°
→ <C = 180-60-x
→ <C = 120-x
Now by the exterior angle of,
A cyclic quadrilateral is equal to the opposite interior angle.
→ <A = <C
→ 2x = 120-x
→ 2x+x = 120
→ 3x = 120
→ x = 120/3
→ x = 40°
Hence, 40° is the value of x.
NEED THIS ASAP HELPPP
Answer:
Step-by-step explanation:
The answer is D 28 degrees
Solve for x.
x - 42 = 98 – 9x
x = [?]
Answer:
x = 14
Step-by-step explanation:
x - 42 = 98 – 9x
Add 9x to each side
x - 42+9x = 98 – 9x+9x
10x-42 = 98
Add 42 to each sid
10x-42+42 = 98+42
10x = 140
Divide by 10
10x/10 =140/10
x = 14
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Let n be the smallest of the three numbers. Then
n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)
Solve for n :
3n + 3 = 5 (n - 21)
3n + 3 = 5n - 105
2n = 108
n = 54
Then the three numbers are 54, 55, and 56.
please help me with this
Answer:
false
Step-by-step explanation:
If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"
Answer: False
Step-by-step explanation: When x is at least 2, x would be greater than or equal to 2. X cannot be less than 2. So, it should be x >= 2.
Hope this helped.
A model is an estimate or approximation of a data set. In the real world, there are too many variables to know exactly what will happen. However, if a model is a good fit, then it can be used to make predictions about what will happen. With a useful model, a predicted value should be a good estimate of an observed value. What did you include in your response? Check all that apply. A model is an estimate of a data set. A useful model can be used to make predictions. Predictions should be a good estimate of what will actually happen.
Answer:
A model is an estimate of a data set.
A useful model can be used to make predictions.
Step-by-step explanation:
There are various models used in mathematics which are used to predict variables. The regression model is used to predict the relation between two variables. There are various other models which help to predict the future events and outcome of these events.
Find the least number when divided by 75,125 and 225 Leaves a remainder 6 in each case.
Answer:
676,131
Step-by-step explanation:
L.C.M of 75,125 and 225,
=>676,125
Leaves a remainder 6 means,
=>676,125 + 6
=>676,131
That means,
When you divide 676,131 by 75,125 or 225,
You get remainder 6 .
That is why we add 6 to the L.C.M
You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the sauce for one portion cost? Round to the nearest cent.
Select one:
a. $1.30
b. $1.31
c. $1.28
d. $1.29
The cost of the tomato sauce for one potion given the cost per ounce is $1.30.
What is multiplication?Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.
What is the cost of one portion of the sauce?In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.
$0.37 x 3.5 = $1.30
To learn more about multiplication, please check: https://brainly.com/question/13814687
please help me and show work on a piece of paper
Let's start with proving that side AB is parallel to side CD
First off, let's find the slope of line AB. So we'll use the slope formula.
[tex]A = (x_1,y_1) = (2,-1)\\\\B = (x_2,y_2) = (1,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{1 - 2}\\\\m = \frac{3 + 1}{1 - 2}\\\\m = \frac{4}{-1}\\\\m = -4\\\\[/tex]
The slope of AB is -4.
Now let's find the slope of line CD.
[tex]C = (x_1,y_1) = (6,5)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 5}{7 - 6}\\\\m = \frac{-4}{1}\\\\m = -4\\\\[/tex]
The slope of CD is also -4.
Recall that parallel lines always have equal slope (but different y intercepts).
This proves that AB is parallel to CD.
--------------------------
We'll follow the same steps to show that AD is parallel to BC.
Find the slope of AD
[tex]A = (x_1,y_1) = (2,-1)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-1)}{7 - 2}\\\\m = \frac{1 + 1}{7 - 2}\\\\m = \frac{2}{5}\\\\[/tex]
Now find the slope of BC
[tex]B = (x_1,y_1) = (1,3)\\\\C = (x_2,y_2) = (6,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 3}{6 - 1}\\\\m = \frac{2}{5}\\\\[/tex]
We get 2/5 each time, so these lines are parallel as well.
--------------------------
In short, the first section shows that AB is parallel to CD. The second section proved that AD is parallel to BC.
Because we have two pairs of parallel opposite sides, we can say that ABCD is a parallelogram.
Edit: I have attached the diagram below.
