Answer:
We conclude that the area of the right triangle is:
![A\:=p^2-2p-3](https://tex.z-dn.net/?f=A%5C%3A%3Dp%5E2-2p-3)
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
![=\frac{1}{2}\left(p+1\right)\left(2p-6\right)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%28p%2B1%5Cright%29%5Cleft%282p-6%5Cright%29)
Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1
![=\left(p+1\right)\left(p-3\right)](https://tex.z-dn.net/?f=%3D%5Cleft%28p%2B1%5Cright%29%5Cleft%28p-3%5Cright%29)
![\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3AFOIL%5C%3Amethod%7D%3A%5Cquad%20%5Cleft%28a%2Bb%5Cright%29%5Cleft%28c%2Bd%5Cright%29%3Dac%2Bad%2Bbc%2Bbd)
![=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)](https://tex.z-dn.net/?f=%3Dpp%2Bp%5Cleft%28-3%5Cright%29%2B1%5Ccdot%20%5C%3Ap%2B1%5Ccdot%20%5Cleft%28-3%5Cright%29)
![=pp-3p+1\cdot \:p-1\cdot \:3](https://tex.z-dn.net/?f=%3Dpp-3p%2B1%5Ccdot%20%5C%3Ap-1%5Ccdot%20%5C%3A3)
![=p^2-2p-3](https://tex.z-dn.net/?f=%3Dp%5E2-2p-3)
Therefore, we conclude that the area of the right triangle is:
![A\:=p^2-2p-3](https://tex.z-dn.net/?f=A%5C%3A%3Dp%5E2-2p-3)
Hence, option A is correct.
Answer:
in pic
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Katja would be the straight line and joels line would show sections that stop going up it would intersect at some point because katja is constantly moving while joel takes breaks in-between
Hope this helps!! :))
Answer:
b) 10 to 20
Step-by-step explanation:
You have to multiply each of the given numbers by 4, and add 8 to that result.
So:
And 60 is between the result of <u>10 and 20</u>, so that's the interval you have to select.
<em>The correct answer is b) 10 to 20</em>