Answer:
See below.
Step-by-step explanation:
An example would be:
3x^2 + 6
and
3(x^2 + 2) .
The second way is found by dividing the first one by 3).
In order to find the second endpoint or a line segment given the first and the midpoint, you need to realize that the midpoint is an average of the two endpoints. Given that fact, we can derive this formula looking at x values of points A and B with midpoint M. Remember this is only looking at the x values.
(A + B)/2 = M
So if we are looking for A, we can solve for A and use this modified formula.
(A + B)/2 = M
A + B = 2M
A = 2M - B
Now we can do this with the y values of these points as well. We then have the coordinates of both parts of A.
Answer:
294.14cm^2
Explanation:
First find the area of the whole piece of paper:
32*14=448
Then find the area of the two semicircles, semicircle + semicircle = 1 circle:
Area of a circle= (radius squared)(pi):
(7^2)(3.14) = 153.86
Subtract the area of the two semicircles from the whole paper area:
448-153.86 = 294.14
I hope this isn’t too confusing :)
A.

B.

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.
The correct solution:
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9