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:
2 4/25
Step-by-step explanation:
First, I made the decimal into 2 16/100. Then, keep simplifying the 16/100 until it is fully simplified.
That would be 1 21/99 or 120/99 as an improper fraction.
Do you have a picture to show, so that I can help?
4 4/5 you make the whole number a fraction by putting a 1 under it and the multiply like normal then make it into a mixed number<span />
