Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer: 
Step-by-step explanation:
What you are trying to do is isolate the variable x. For you to do that you have to first simplify the left side of the equation and then you solve for x.
Answer:
1162 tickets will need to be sold
Step-by-step explanation:
8134 / 7 = 1,162
To hundred three hundred and five
Answer:
Step-by-step explanation:
Invert and multiply the second fraction.

All 4 parts of the two fractions can be factored into simpler factors.

Numerous cancelations can occur
- (x - 5) [top right with x - 5 bottom left]
- (x - 2) [top left with x - 2 bottom right]
Answer