Answer:
x = 15
y = 12
z = 20
Step-by-step explanation:
For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625
then z^2 = y^2 + 16^2 => y^2 = z^2 - 256
and x^2 = y^2 + 9^2 => y^2 = x^2 - 81
so z^2 - 256 = x^2 - 81
z^2 = x^2 + 175
replace z^2 = x^2 + 175 into the first equation
x^2 + (x^2 + 175) = 625
2x^2 = 450
x^2 = 225
x = 15
If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20
y^2 = z^2 - 256 => y^2 = 400 - 256 = 144
then y = 12
Because 6 * 8 + ( - 2 )* 24 = 48 - 48 = 0 , the vectora u and v are orthogonal ;
Two vectors are orthogonal if their dot product is zero.<span />
First, you add like terms. In this case, the like terms are 6 and 3.
4x + 6 + 3 = 17
4x + 9 = 17
Then, subtract 9 on each side:
4x + 9 - 9 = 17 - 9
4x = 8
Then divide by 4 on each side to get the x by itself:
4x/4 = 8/4
x = 2
Answer:
-1.5
Step-by-step explanation:
The distance between S and T is
4 - -7
4+7 = 11
Divide this in half to find the midpoint
11/2 = 5.5
Add this to point S to get the point itself
-7 + 5.5 = -1.5
It's B, I'm doing my online school assignment and this was the correct answer.