3 questions, will give 50 points + brainliest if answered all!

A. Option 3

B. W': (-1,-9)

X': (1,-8)

Y': (3,-2)

Z': (-4,-5)

C. Statement 1, 4 and 6

Step-by-step explanation:

Part A

After reflection along the y-axis, A well be mapped onto the first quadrant and then after 90° clockwise rotation, it will be mapped onto B

Part B

(x,y) --> (x-6, -y)

W': (-1,-9)

X': (1,-8)

Y': (3,-2)

Z': (-4,-5)

Part C:

After translation and reflection, the lengths of the sides and angles remain unchanged. The object and image are congruent

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

anser is a

step-by-step explanation:

negitive slope