To find the area you times the length times width
The correct answer is: [D]: " y = - 4x − 13 " .
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Explanation:
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All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is: " y = mx + b" .
All of the answer choices given have a slope of "-4" ; that is: "m = -4" .
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The only answer choice with the equation that passes through point
"(-3, 1)" — that is, when "x = -3, y = 1" — is:
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Answer choice: [D]: " y = - 4x − 13 " .
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In the equation: " y = - 4x − 13 " ; when "x = - 3, y = 1" .
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Given: " y = - 4x − 13 " ;
↔ - 4x − 13 = y ;
Plug in "(-3)" for "x" ; and see that "y = 1" ;
-4(-3) − 13 = y ;
12 − 13 = y = -1 ;
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So, when x = -3, y = 1 .
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The correct answer is: [D]: " y = - 4x − 13 " .
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Consider choice: [A]: " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 13 = y ; 12 + 13 = 25 ; NOT "-3" .
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Consider choice: [B]: " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 7 = y ; 12 + 7 = 19 ; NOT "-3" .
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Consider choice: [C]: " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) − 7 = y ; 12 − 7 = 9 ; NOT "-3" .
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This leaves us with "Answer choice: [D]: " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
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Hope this helps!
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The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
<h3>How to set up the integral?</h3>
The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
Using the washer method, the integral of the volume is:
![V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5Ea_b%20%7B%5Cpi%20%5BR%28x%29%5E2%20-r%28x%29%5E2%20%5D%7D%20%5C%2C%20dx)
Read more about volume integrals at:
brainly.com/question/18371476
Q + d = 63....q = 63 - d
0.25q + 0.10d = 10.80
0.25(63 - d) + 0.10d = 10.80
15.75 - 0.25d + 0.10d = 10.80
-0.25d + 0.10d = 10.80 - 15.75
-0.15d = -4.95
d = -4.95/-0.15
d = 33 <=== 33 dimes
q + d = 63
q + 33 = 63
q = 63 - 33
q = 30 <=== 30 quarters
