Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).
In △DEF , the length of the base, DF¯¯¯¯¯ , is
4a, and the height is 2b, so its area is
1/2×4a×2b = 4ab.
In △QRP , the length of the base, QR¯¯¯¯¯ , is
3a-a = 2a, and the height is b, so its area is 1/2×2a×b = ab .
Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
The correct answer is false:) Parallel lines don’t have a solution because they don’t intersect.
Answer: -7/9
Step-by-step explanation: To identify the slope of this line, first notice that this equation is in standard form which is Ax + By = C.
To find the slope, we need to solve for our variable <em>y</em>.
We first need to identify what is happening to our variable <em>y</em>. You can notice that it's being multiplied by 9 and is being added by 7x because 7x is a +7x so we're adding the 7x to the 9y.
So the first thing we do is undo addition and subtraction to our variable.
On the left the -7x's cancel and we are left with 9y. on the right, we do not want to write 45 - 7x because we always want to keep our variable in front of our constant. So I will just write that as 9y = -7x + 45.
Now we can divide everything by 9 in order to get <em>y</em> by itself.
This leaves us with <em>y = -7/9x + 5</em>.
Now our slope is the multiplier or the coefficient of the <em>x</em> term which in this case is -7/9. So the slope is -7/9.
Answer:
a.) (x+2)(x-5)
Step-by-step explanation:
First, you need to locate the x-intercepts. The x-intercepts are (-2,0) and (5,0). Then, you move everything to the same side.
Now that you have all of them on the same side, you just put them into an equation to get:
