Answer:
the slope of the line x+y = 6 is -1.
Step-by-step explanation:
slope = - coefficient of x
----------------------
coefficient of y
slope = -1 /1
slope = -1
Answer:
A: -1
Step-by-step explanation:
In Isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm. long. a. If the perimeter is 76 cm. find the lengths of AB and CD. b. If the height of the trapezoid is 12 cm. find its area. (Hint: Area
otal perimeter = 76cm = AB + BC + CD + AD
AD & BC = 13cm
AB = 1.5*(CD)
Solution:
Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation
76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC
76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms
76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides
50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB
50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation
50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5
20cm+=+CD
To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)
AB+=+1.5%2A20cm
AB+=+30cm
What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right
Answer:
D
Step-by-step explanation:
When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.
When you replace x with (x-7) the equation will be converted into
y = ((x-7)+4)
y = x-3
When you graph this you see it has a x-intercept of 3 and a y-intercept of -3
To find the distance add the 2 x values together:
-4 + (-3) = ?
-4 -3 = ?
-7 = ?
Therefore the graph will shift units right
Possible Points: 100 One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After si hours, what was the temperature?
Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.
Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
[tex] 10*x = 14*5 [/tex]
Solve for x
[tex] 10x = 70 [/tex]
Divide both sides by 10
[tex] x = 7 [/tex]
Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest
number of possible solutions to this system?
Answer:
greatest number of solutions is 2
Step-by-step explanation:
one is a parabola, the other is a line
so it can intersect in 0, 1, 2 points
which whole number has a factor that is the greatest prime factor between 1 and 30?
А. 1,593
B. 1,247
C. 1,311
D. 943
Answer:
B
Step-by-step explanation:
The greatest prime factor between 1 and 30 is 29. Remember that a prime number is a number whose only 2 factors is 1 and the number itself. To find out which number is a multiple of 29, all we have to do is divide it by 29, and if the quotient is a whole number then we have found our answer.
A: 1593 / 29 ≈ 54.93
B: 1247 / 29 = 43
We don't need to check C and D because we know that B is the answer.
1247 has the greatest prime factor between 1 and 30
The factor of a number that divides another number perfectly without leaving any remainder.
For example, the factors of 12 are 1,2,3,4,6 and 12
A prime factor is a number that a prime number
A prime number is a number that can be divided only by 1 and that number
Prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
The greatest prime factor between 1 and 30 is 29
To determine which number has the greatest prime factor, divide each of the numbers in the options by 29.
1593 / 29 = 54.9 (29 is not a prime factor of 1593)
1247/29 = 43 (29 is a prime factor of 1247)
1311 / 29 = 45.2 (29 is not a prime factor of 1311)
943 / 29 = 32.5 (29 is not a prime factor of 943)
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A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wants to send as many employees as it can to a technology training. The technology training costs $1,000 per person. The customer service training costs $500 per person. Create a system of equations that models how many of each type of training the business should purchase. 1,000x + 500y = 45 x + y = 25,000 1,000x + 500y = 25,000 x + y = 45 1,000x + y = 45 x + 500y = 25,000 x + 500y = 45 1,000x + y = 25,000
Answer: [tex]x+y=45\\\\1000 x + 500y = $2500[/tex]
Step-by-step explanation:
Let x = Number of employees taking technology training
y= Number of employees taking customer service training
Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.
Total cost = 1000 x + 500y
Since, Total cost = $25,000 and total employee to attend training= 45 .
That means , the required equations are:
[tex]x+y=45\\\\1000 x + 500y = $2500[/tex]
Answer:
1,000x + 500y = 45
x + y =45
Step-by-step explanation:
So that means answer b is the correct answer, also I took the test.
Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] [tex]Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\][/tex]
There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
Match the graph with the correct equation.
Answer:
work shown and pictured
Plz help ASAP assignment due today !!!
Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.
Square - a rectangle (4 sided shape) whose sides are equal length
Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines
Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles
Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.
Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines
Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.
Happy to help!
Answer:
1). Triangle - Has 3 equal sides and angles of 60°.
2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).
3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.
4). Pentagon - It has 5 equal sides with equal angles of 108°.
5). Hexagon - It has 6 equal sides with equal angles of 120°.
PROPERTIES OF A CIRCLE:
It has no sides with no angles. The radius in any direction from the point are of the same length.
solve 4w–3w+2w=24
Please
We need to simplify the left side first.
On the left side, all the terms can be combined.
So 4w - 3w + 2w is 3w.
So we have 3w = 24.
Next, dividing both sides by 3, we have w = 8.
So our solution is w = 8.
Answer
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{w = 8}}}}}[/tex]
Step by step explanation
[tex] \sf{4w - 3w + 2w = 24}[/tex]
Collect like terms
⇒[tex] \sf{w + 2w = 24}[/tex]
⇒[tex] \sf{3w = 24}[/tex]
Divide both sides of the equation by 3
⇒[tex] \sf{ \frac{3w}{3} = \frac{24}{3} }[/tex]
Calculate
⇒[tex] \sf{w = 8}[/tex]
Hope I helped!
Best regards!!
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer:
First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables
Step-by-step explanation:
"2 pounds of meat with some chopped vegetables"
2 + v
"She divides the mixture into 4 equal portions."
(1/4)(2 + v)
"Each portion weighs 3 pounds."
(1/4)(2 + v) = 3
2 + v = 12
v = 10
Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables
Answer:
(2+v)=3 v=10
Step-by-step explanation:
What are the vertical and horizontal asymptotes for the function f(x)=
3x2/x2-4
Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.
Step-by-step explanation:
Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]
The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.
i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]
Hence, f(x) will have vertical asymptotes at x=-2 and x=2.
To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.
So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]
i.e. [tex]y=\dfrac{3}{1}=3[/tex]
Hence, f(x) will have horizontal asymptote at y=3.
If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?
Answer:
91
Step-by-step explanation:
Look at multiples of 7 and you’ll find 91.
91 dived by 3 is 30 with a remainder of 1.
91 divided by 5 is 18 with a remainder of 1.
91 divid by 7 is 13 with no remainder.
91 is the number between 1 and 100 satisfies the above conditions
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided by 3 or 5, the remainder is 1.
If it is divided by 7, there is no remainder
We need to find the number between 1 and 100 which satisfies the given conditions.
Let us consider 91.
When 91 is divided by 3 we get 30 and 1 as remainder.
91 divided by 5 is 18 with a remainder of 1.
91 divided by 7 is 13 it does not have any remainder or remainder is zero.
Hence, 91 is the number between 1 and 100 satisfies the above conditions
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I need Helpppp quick!!!!
Answer:
G
Step-by-step explanation:
let his fixed price be x and his hourly fee be y;
270 = 4y + x
420 = 7y + x
x is common in both equations
equate the two;
x = 270-4y and x = 420-7y
270-4y = 420-7y
3y = 150
y = 50
x = 270-4*50
x = 70
what is 1.54324 rounded to the nearest tenths equal
Answer:
1.5
Step-by-step explanation:
1.54324
The 5 is in the tenths place
We look at the next digit to determine if we need to round up or we leave it alone
The next digit is a 4. It is under 5 so we leave the 5 alone
1.5
The tenths place is one place to the right of the decimal point.
This means the digit in the rounding place is 5
Since the digit to the right of the rounding
place, 4, is less than 5, round down.
This means that the digit in the rounding place, 5, stays the same and
we change all digits to the right of the rounding place to 0.
So our answer is 1.50000 or 1.5.
When simplified completely, the product of a monomial and a binomial is
a trinomial.
Answer:
the answer is ; Never
Hope this answer correct :)
Answer:
the answer is never
Step-by-step explanation:
Cindy and victor are playing a math game. The winner must get three in a row of the same type of real numbers and justify how do numbers are alike. Cindy said that Cindy and Victor are playing a math game. The winner must get three in a row of the same type of real numbers and justify how the numbers are alike. Cindy said she won because she was able to get three rational numbers on a diagonal. Victor said he won with three positive numbers in a column. Can both players say they won, for different reasons? Explain
Please see attachment for question
Answer:
Yes both players can say they won. Cindy and Victor won
Step-by-step explanation:
Both players can say they won because they both kept to the rules of the game. Cindy got rational real numbers on a diagonal while Victor got positive numbers on a column which are real numbers too. Pi on the last row on his column for the diagram on the right(see attachment) is 22/7 or 3.14159... is an irrational real number but is still a positive real number.
please help me on this
Answer:
YZ = 8.5
Step-by-step explanation:
Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is
[tex]\frac{YX}{YZ}[/tex] = [tex]\frac{XR}{ZR}[/tex] , substitute values
[tex]\frac{11.9}{YZ}[/tex] = [tex]\frac{7}{5}[/tex] ( cross- multiply )
7YZ = 59.5 ( divide both sides by 7 )
YZ = 8.5
What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)
Answer:
STEP 1: Find the circumference:
Circumference = 2πr
Circumference = 2π(14) = 28π cm
............................................................................................
STEP 2: Find the length of the arc:
Length of the arc = 36/360 x 28π
Length of the arc = 8.8 cm
.............................................................................................
Answer: The length of the arc is 8.8 cm
............................................................................................
hope it helpssss
Mark it as brilliant answer plzzz
ФωФ
Answer:
27°
Step-by-step explanation:
arc length = circumference × fraction of circle
let x be the central angle, then
2πr × [tex]\frac{x}{360}[/tex] = 6.6
2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6
88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )
88x = 2376 ( divide both sides by 88 )
x = 27
Thus central angle is 27°
Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9
Answer:
[tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Using the rules of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Given
[tex]27^{-\frac{2}{3} }[/tex] × [tex]25^{\frac{1}{2} }[/tex] × [tex]5^{0}[/tex]
= [tex]\frac{1}{27^{\frac{2}{3} } }[/tex] × [tex]\sqrt{25}[/tex] × 1
= [tex]\frac{1}{9}[/tex] × 5 × 1
=[tex]\frac{5}{9}[/tex]
The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.
a. (x1,y1) = (2x + x2, 2y+y2)
b. (x1,y1) = (2x - x2, 2y - y2)
c. (x1,y1) = (x + x2, y + y2)
d. (x1,y1) = (x - x2, y - y2)
Answer:
(x1,y1) = (2x - x2, 2y - y2)
Step-by-step explanation:
Given:
Midpoint = (x , y)
End point = (x2, y2)
Find:
(x1, y1)
Computation:
Mid-point formula
x = (x1 + x2) / 2 , y = (y1 + y2) / 2
So,
2x = x1 + x2 , 2y = y1 + y2
x1 = 2x - x2 , y1 = 2y - y2
So,
(x1,y1) = (2x - x2, 2y - y2)
Someone please help me ASAP
Answer:
the percentage share for BBC2 remained almost the same at about 11 % each year
if you look at the chart the BBC2 almost remains stable between 10 and 12 %
1980 ( between 39 and 51)
1985 ( between 37 and 49 ) and so on
( these numbers are not exactly the same , it is about or approximately)
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answer:
She moved 3 to the left and 5 down.
She could have calculated each point seperately.
A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!
simplify 5 x 5^2 in index form
Answer:
5x(25)
Step-by-step explanation:
The pepper plant has \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it.
Answer:
6 pepper fruits
Step-by-step explanation:
Given the following :
Fraction of pepper in terms of tomato = 2/3
Number of fruits on pepper plant = 9
Therefore number of pepper fruits on pepper plant:
2/3 * number of tomato fruits
2/3 * 9
(2 * 3) = 6
6 pepper fruits.
Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m
Answer:
A. L = 240 m
Step-by-step explanation:
use similar triangle
L / 60 = 80 / 20
L = (80 * 60) / 20
L = 240 m
The required distance across the lake is 240 m. Hence correct option is A.
Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.
Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m
Thus, the required distance across the lake is 240 m.
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which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?
The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
The equation is given as:
[tex]\mathbf{y = 0.5x + 5}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]
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3rd one i just did it on edge :P
determine whether or not the function r(x) =x^2-2 is one -to-one
Answer:
The function is not one-to-one
Step-by-step explanation:
This is a quadratic function.
[tex]f(x)=x^2-2[/tex]
A function is one-to-one
[tex]\text{if } f(x_1)=f(x_2) \Leftrightarrow x_1=x_2[/tex]
The function given is not one-to-one because there are values of the input [tex]x[/tex], which leads to the same output.
For example.
[tex]y=f(2)=2^2-2=\boxed{2}[/tex]
[tex]y=f(-2)=(-2)^2-2=\boxed{2}[/tex]
Express as a trinomial.
(3x+5)(2x+9)
Answer:
[tex]6x^{2} +37x+45[/tex]
Step-by-step explanation:
Hello!
A trinomial is a algebraic expression containing 3 terms
To turn this into a trinomial we have to multiply everything by each other
3x
3x * 2x = 6x^2
3x * 9 = 27x
5
5 * 2x = 10x
5 * 9 = 45
Now we put it all together
6x^2 + 27x + 10x + 45
Combine like terms
6x^2 + 37x + 45
The answer is [tex]6x^{2} +37x+45[/tex]
Hope this helps!
