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.
3w-13w=-20
Combine like terms
-10w=-20
divide both sides by -10
w=2
It is 1082.
I hope it helps, you can do more on a calculator. :)))
Answer:
The answer is 84
Step-by-step explanation:
(-7)*(3)*(-4)
negatives cancel out: 7*3*4
Simplify: 84
202 + 8 = 210
210 + 8 = 218
218 + 8 = 226
The number is 226.