The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. write the function in standard form. f(x) = 3x2 + 18x factor a out of the first two terms. f(x) = 3(x2 + 6x) form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) write the trinomial as a binomial squared. f(x) = 3(x + – 27 what is the missing value in the last step?

The missing value in last step is 3

Step-by-step explanation:

Given the function f(x)

Here some steps are given to write the above function in vertex form.

Step 1: Factor a out of the first two terms

Step 2: Form a perfect square trinomial.

Write the trinomial as a binomial squared.

By the identity of binomial square

Hence, the f(x) can be written as

Therefore, the missing value in last step is 3

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

step-by-step explanation:

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