One of two complementary angles is 8 degrees less than the other. which of the following systems of equations represents the word problem? x + y = 90 and x - y = 8 x + y = 90 and 90 - x = 8 x + y = 90 and y = 8x

( x+y = 90 ) and ( x - y = 8 )

Step-by-step explanation:

In this question we will form the equation as per statements given.

"One of two complementary angle is 8 degrees less than the other."

Let the two angles are 'x' and 'y'

By the statement ( y = x - 8 )

                              y - x = (-8)

              or           x - y = 8 (1)

"Both the angles are complementary."

x + y = 90° (2)

Therefore, system of equations will be

( x+y = 90 ) and ( x - y = 8 )

Option A. is the correct answer.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option