If (a+b)^2 = 37 and ab=5 what is a^2 + b^2

(a+b)^2 = 37

a^2 + 2ab + b^2 = 37

Substitute ab = 5 into a^2 + 2ab + b^2 = 37

a^2 + 2(5) + b^2 = 37

a^2 + b^2 + 10 = 37

a^2 + b^2 = 27

Answer

a^2 + b^2 = 27

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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step-by-step explanation: