The answer is (6, 8).
EXPLANATION
If you are given two numbers, you can find the number exactly between them by averaging them, by adding them together and dividing by two. The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.
That is:
But since the midpoint is given, we'll work this out in a different way.
To find the x of the other endpoint or x2, we'll have first to plug-in the given x values in the midpoint and x1.
So,
Now, let's proceed to y2.
So now you have the x and y values of the other endpoint: (6,8).
False, they actually decreased some.
There are 3 girls & 4 boys.
Each student makes 8 paper airplanes.
Amount of paper airplanes created by girls: 3 x 8 = 24
Amount of paper airplanes created by boys: 4 x 8 = 32
Amount of paper airplanes created in all: 3(8) + 4(8) = 24 + 32 = 56
~
Answer:
The answer is ""
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:
The local extremes of this function are where the first derivative is 0:
Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.