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Consider the equation Ax+By=−36. If the x-intercept is (−3,0) and the y-intercept is (0,9), what are the values of A and B?

Respuesta :

sand75

Answer:

A= 12

B = -4

Step-by-step explanation:

( -3,0) & (0,9) should satisfy the equation Ax + By = -36

when ( -3,0)

-3A+ 0 = -36

A = 12

when (0,9)

0 + 9B = -36

B = -4

The value of A and B is 12 and -4.

Given that,

  • The equation is Ax + By = -36.
  • And, the x-intercept is (-3,0) and the y-intercept is (0,9).

Based on the above information, the calculation is as follows:

Ax + By = -36

When (-3,0)

So,

-3A+ 0 = -36

A = 12

Now  

when (0,9)

So,  

0 + 9B = -36

B = -4

Therefore we can conclude that the value of A and B is 12 and -4.

Learn more: brainly.com/question/3334417

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