Ineed to know how to solve linear equations with two of the same variable on one side, like this equation: 9x^2-39x=168
either that or if anyone knows, using the zero product property on trinomial quadratic equations.
!
-dylan

The zeroes are at (-8/3, 0) and (7, 0).

Step-by-step explanation:

Your equation is 9x² - 39x = 168

1. Put the equation into standard form

Subtract 168 from each side.

9x² - 39x - 168 = 0

2. Remove the common factor

Divide each side the highest common factor of all coefficients (3).

3x² -13x - 56 = 0

Your equation has the form

ax² + bx +c = 0

a = 3; b = -13; c = -56

3. Factor the quadratic

a. Multiply a·c: 3(-56) = -168

b. List all the factors of ac: 1, 2, 3, 4, 6, 7, 8, 12, 21, 24, 28, 42, 56, 84, 168

c. Find two numbers whose sum = b  and whose product = ac.

   8 and -21 work, because 8 - 21 = -13 and 8(-21) = -168

d. Rewrite -13x as 8x - 21x: 3x² + 8x - 21x -56 = 0

e. Factor by grouping: x(3x + 8) - 7(3x + 8) = (3x + 8)(x - 7) = 0

4. Solve the quadratic

(3x + 8)(x - 7) = 0

Use the zero product property: a product of factors is zero if one or more of the factors is zero.

3x + 8 = 0          x - 7 = 0

     3x = -8              x = 7

       x = -8/3

The zeroes are at (-8/3, 0) and (7, 0).

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )