3.) find the x- and y-intercept of the line.

x + 4y = 36

x-intercept is 9; y-intercept is 36.

x-intercept is 4 ; y-intercept is 1.

x-intercept is 1; y-intercept is 4.

x-intercept is 36; y-intercept is 9.

Option D

x-intercept is 36 and y-intercept is 9

Solution:

Given equation is:

x + 4y = 36

To find: x and y intercept

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'

Substitute y = 0 in given equation

x + 4(0) = 36

x + 0 = 36

x = 36

To find the y-intercept, plug 0 in for 'x' and solve for y

Substitute x = 0 in given equation

0 + 4y = 36

4y = 36

y = 9

Thus x-intercept is 36 and y-intercept is 9

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square