So if 7 is the middle x-value, you calculate how far it is from the given endpoint in order to determine how far it is from the other endpoint. So,
7 -5 =2, so the other endpoint must be 2 away from 7 in the opposite direction, 7+2=9
Then repeat with y,
3-1/2=5/2, therefore 1/2 - 5/2 = -4/2= -2
So the point is (9, -2)
Answer:
d) 330
Step-by-step explanation:
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)
That is 
ways
by using formula 
now simplification
= 
after cancelling 7! and on simplification
= 
after cancellation we get 330 ways
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330
Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:
Step-by-step explanation:
<u>Solving in steps:</u>
<u>1. If 3x - 7 > 0</u>
<u>2. If 3x - 7 < 0</u>
