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:
181.76
Step-by-step explanation:
The calculator gave me this answer
Answer:
B
Step-by-step explanation:
The closed circle at - 
indicates that x can equal this value
The open circle at 
indicates that x cannot equal this value.
All values of x between - and are valid, thus
- ≤ x < → B
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have the following equation:
So:
, the slope is positive
For the graph, we place the point on the coordinate axis:
We draw the line!
The graphic is attached.
ANswer:
, the slope is positive
I’m pretty sure the answer is D.
