The y-coordinate of point A is -22
Step-by-step explanation:
Given
B = (24,16)
P = (4,-3)
The formula for mid-point of AB will be given by:
![P = (\frac{x_A+x_B}{2} , \frac{y_A+y_B}{2})](https://tex.z-dn.net/?f=P%20%3D%20%28%5Cfrac%7Bx_A%2Bx_B%7D%7B2%7D%20%2C%20%5Cfrac%7By_A%2By_B%7D%7B2%7D%29)
As we already know the y-coordinate of midpoint
We can put the formula's y coordinate equal to the given value
![\frac{y_A+y_B}{2} = -3\\\frac{y_A + 16}{2 } = -3\\y_A+16 = -3 * 2\\y_A +16 = -6\\y_A = -6-16\\y_A = -22](https://tex.z-dn.net/?f=%5Cfrac%7By_A%2By_B%7D%7B2%7D%20%3D%20-3%5C%5C%5Cfrac%7By_A%20%2B%2016%7D%7B2%20%7D%20%3D%20-3%5C%5Cy_A%2B16%20%3D%20-3%20%2A%202%5C%5Cy_A%20%2B16%20%3D%20-6%5C%5Cy_A%20%3D%20-6-16%5C%5Cy_A%20%3D%20-22)
Hence,
The y-coordinate of point A is -22
Keywords: Mid-point, coordinate geometry
Learn more about coordinate geometry at:
#LearnwithBrainly
To find the area of a semicircle you would use the formula A=pie * r ^ 2 If you fill in 40 for r you would get 5026.5482
Answer:
3 Pages
Step-by-step explanation:
- Let the pages of economics read = e
- Let the pages of psychology read = p
- Let the total time taken on each instance=t
In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.
The student could read 30 pages of psychology and 70 pages of economics.
Since the two situations take the same amount of time, we have:
50p+10e=30p+70e
Collect like terms
50p-30p=70e-10e
20p=60e
Divide both sides by 20
p=3e
Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.
Answer:
False
Step-by-step explanation:
A line is defined by and consists of at least two points, therefore, an extra point in the same plane can be located such that when joined to one of the previous two points to form another distinct line
However, three points can only lie on one distinct plane as the location of the third point together with the two colinear point form either three colinear points or a triangle which is a planar two dimensional polygon.