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.
I would just do for the first one 7/16 - 3/16 = 4/16 which is also 1/4 I'm not sure ho2 you estimate it
Answer:
3 ÷ 8
Step-by-step explanation:
1. A fraction has two parts: a numerator and a denominator. The numerator is the dividend (the number that is to be divided by the divisor), and the denominator is the divisor (the number that is divided into the dividend).
2. Given the information above, we know that 3 is the numerator, and 8 is the denominator. This means 3 ÷ 8 = 3/8.
6/10 can be simplified but we don't need to worry about it right now. We only need to worry about simplifying 20/100:
20/100 → 10/50 → 5/25 → 1/5
Find common denominators
1/5 → 2/10
6/10
Now, add.
6/10 + 2/10 = 8/10
Therefore, the equation is true.
Best of Luck!
