6x^2-9x+18
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Hey there! I'm happy to help!

This is a quadratic equation (it follows the form ax^2+bx+c). To solve these, we first want to factor. We have to find two numbers that multiply to create c and multiply to get b. We'll call these numbers s and t.

s·t=18

s+t=-9

Let's look at factors of 18.

18 and 1

2 and 9

3 and 6

We see that 3 and 6 add to make 9. But, we want -9. If we use -3 and -6, it will add to make -9 and still multiply to get 18.

So, our numbers are -3 and -6. We put this into the factored form (x+s)(x+t), so we have (x-3)(x-6). To find what x is equal to, we set that factored form equal to zero and we see what x values would give us 0.

(x-3)(x-6)=0

There are two possible ways to make this 0. The first parentheses end up equaling 0 and the second ones equal 0. If we have x-3=0, then x=3. If we have x-6=0, then we have x=6.

Therefore, the two solutions are x=3 or x=6.

Have a wonderful day! :D

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: