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arlik [135]
3 years ago
15

Write the equation of the line that has a y-value that increases by 4 for every x that increases by 1. It also crosses the y-axi

s at –2.
A. y=4x-2
B. y=1/4x-2
C. y=2x+1/4
D. y=2x-4
Mathematics
1 answer:
34kurt3 years ago
6 0
Slope = rise/run.      the rise is the increase of y and the run is the increase of x. that would make it 4/1 or just 4. now that you have the slope, plug everything into slope-intercept form. y = mx + b. m = the slope. b = the y-intercept. once every thing is plugged in, then the equation would be y = 4x - 2.
i hope i helped
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Ignore the mess... I need help with #20 please and thank you
enot [183]
Because the triangle is isosceles, angle P and angle R are the same. Thus, your work would be:

6x+4 + 2(98-4x) = 180. You then simplify this to 6x+4 + 196 - 8x = 180. Combine like terms, you get - 2x = - 20. x = 10.

Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58. 

Angle P should be equal to 58 degrees. 

To check your work add up the angles to see if they equal 180:

58 + 58 + 6(10) + 4 = 116 + 64 = 180. 
6 0
3 years ago
Find the measure of one exterior angle of a regular octagon
nydimaria [60]

Answer:

each of the eight angles measures 45 degrees

Step-by-step explanation:

The sum of all exterior angles of any polygon always measures 360 degrees.

If it's 'regular' then all angles have the same measures.

If it's an octagon, then it has 8 sides.

360 divided by 8 = 45

8 0
3 years ago
Which expressions are polynomials? Select each correct answer.
lilavasa [31]
Here's an example

<span>Simplify by collecting like terms: 4(<span>x2y  </span>+ 7y) – 5y(3<span>x2 </span>– y) – 10y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y </span>

<span>Correct. 4(<span>x2y  </span>+ 7y) – 5<span>y(3x2 </span>– y) – 10y = 4<span>x2y + </span>28y – 15<span>yx2</span> + 5<span>y2 – </span>10y = 4<span>x2y + </span>18y – 15<span>yx2</span> + 5<span>y2 </span>= −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y </span>

<span>Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15<span>yx2 + </span>5<span>y2. </span>The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

<span>Incorrect. This polynomial can be further simplified by combining the like terms 4<span>x2y </span>and −15<span>yx2. </span>The order of the variables in a term does not matter. The correct answer is </span>

−<span>11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y </span>

<span>Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

 


8 0
3 years ago
The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?​
Makovka662 [10]

Answer:

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7 0
3 years ago
In 17 ​weeks, Bruce earns ​$5,644 doing yard work. He earns the same amount each week. Let b stand for the amount earned each we
Marrrta [24]
5,644 / 17 = b
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2 years ago
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