Given: and

Prove: slope of × slope of = -1

Statements Reasons
1.
is similar to Given
2. Property of similar triangles
3. slope of
slope of Definition of slope
4. slope of slope of Multiplying the slopes
5. slope of slope of Substitution property of equality
6. slope of slope of = -1 Simplifying the right side

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

A.

B.

C.

D

hi! i think the answer is 1/2 : )

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

answer: group b.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.