WILL MARK BRAINLIEST PLEASE HELP AND SHOW WORK

A. Solve by removing the GCF then using BOTTOMS UP METHOD (factoring).

6x^2+9x-6=0

B. Solve by removing GCF then using Difference of 2 squares method.

20x^2-500=0

A.) (x + 2) and (2x - 1)

Step-by-step explanation:

So from the video i just watch this is how its done

3 (2x^2 + 3x - 2) = 0

4  and -1 gives you 3 and you divide them by a which is 2

4/2 (2/1) and -1/2 then you write them from the bottom to top

(x + 2) and (2x - 1)

B.) 20 (x + 5) (x - 5) = 0

Step-by-step explanation:

20 (x^2 - 25) = 0

20 (x + 5) (x - 5) = 0

EZ

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.