Complete the square to determine the minimum or maximum value of the function the expression defines. x2 − 38x + 9 a) maximum value at 361 b) minimum value at −352 c) maximum value at −352 d) minimum value at −361

minimum value at −352

Step-by-step explanation:

First, set the expression equal to 0.

x2 − 38x + 9 = 0

Complete the square.

x2 − 38x = −9

x2 − 38x + 361 = 352

(x − 19)2 − 352 = 0

Therefore, the minimum value is −352.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it