Just answer these 4questions! (: 13 points!

Step-by-step explanation:

1) GCF = Greatest common factor which would be 6x so lets get started.

now we solve this with by quadratic formula.

so a=1 , b=6, c =8

and we get two values of x which is

but in the question it says we will end up with 3 solutions. Our third solution is actually

because we took 6x common as the greatest common factor so

so now we have 3 solutions

2) (x-9)(4x+1)=0

since this equation is already in root form we equate each root to 0

so our solutions are x=9 and x=-1/4

3)

now since we need to solve using square roots we apply square roots on both sides

since when we take the square root of a number we get positive and negative of that number example here

x+5=±12

so

x+5=12 and x+5=-12

x=7 and x=-17

4) Difference of two squares means we just need to factorize it in root form so lets begin,

now if we see this expression can be written like this as well

and if we expand this into the difference formula which is

we get

where a is 2x and b is 7

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step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)