Aquadratic curve passes through the points (-4, 12) and (0, 8).
the equation of the curve is y = x^2+kx+8.
find the value of k.

k = 3

Step-by-step explanation:

Since the curve passes through (- 4, 12) and (0, 8) then the coordinates of these points make the equation true.

Substitute (- 4, 12) into the equation and solve for k, that is

(- 4)² + (- 4)k + 8 = 12

16 - 4k + 8 = 12

24 - 4k = 12 ( subtract 24 from both sides )

- 4k = - 12 ( divide both sides by - 4 )

k = 3

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

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step-by-step explanation: