3) For the equation -4y=8x, what is the constant f variation? A. -4
B. -2
C. 1
D. 2
4) suppose y varies directly with x, and y=24 when x=8. What is the value of y when 2=10?
A. 10
B. 30
C. 80
D. 240
5) What is an equation for the line with slope 2/3 and y-intercept 9?
A. y=2/3x\
B. y=9x
C. y=2/3x+9
D. y=9x+2/3
6) What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)?
A. y=3x+1
B. y=x-3
C. y=2x+5
D. y=2x-5

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc