Explanation:
It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.
We can write two equations that make use of the Pythagorean theorem:
PQ² = PR² +RQ²
RS² = QS² +RQ²
Then we can swap sides of the first equation and subtract the second equation. This gives ...
(PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)
Adding RQ², we can write this as ...
PR² -RS² +2RQ² = PQ² -QS²
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The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.
Since PQ² - QS² is a positive number, PQ > QS.
Answer:
3x+6
Step-by-step explanation:
(x+2)3
3(x)+3(2)
3x+6
Answer:
uh, I think it's 4.13
Step-by-step explanation:
5*sin(65)=4.13 now this seems a bit off but this was the only one that actually worked
Answer: 14ft > 4 1/2 yd
Step-by-step explanation:
The center is at (0,0) so the equation will be like
x^2 + y^2 = r^2 where r = radius of the circle.
from the diagram you can see that r = 4
answer is x^2 + y^2 = 16
