Answer:
(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.
Step-by-step explanation:
- Point P is at (4, 2),
- Point Q is at (8, 5),
- Point R is at (5, 9), and
- Point S is at (1, 6)
Midpoint of SQ 
Midpoint of PR 
Now, we have established that the midpoints (point of bisection) are at the same point.
Two lines are perpendicular if the slope of one is the negative reciprocal of the other.
In option D
- Slope of SQ

Therefore, lines RP and SQ are perpendicular.
Option D is the correct option.
Answer:

Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:

In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly,
. So


For this case what we should do is take into account the following conversion:

We then have the following number:

Applying the given conversion we have:

By doing the corresponding calculation we have that the standard form is given by:
Answer:
4540 million in standard form is:
Answer:
$(x-100)
Step-by-step explanation:
- Phil entered the poker tournament with $100.
- He received a price of $x.
His net winnings from the tournament will be the price minus the entry fee.
Therefore:
Phil's net winnings=$(x-100)