Answer: 16y² - x²
Step-by-step explanation: The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)
10 is not a square so that one is eliminated (though the y² and the 4x² are squares)
16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.
Answer:
5625in²
Step-by-step explanation:
Area of the plate = πr²
625π = πr²
625 = r²
r = √625
r = 25in
If the radius of the plate is tripled, then the new radius will be 3(25) = 75in
New Area = π(75)²
New Area = 5625π in²
If the radius is tripled, the new area of the plate is 5625in²
9514 1404 393
Answer:
(x, y) = (-1, -16) or (3, 0)
Step-by-step explanation:
Perhaps you want to solve the system of equations ...
- y = x^2 +2x -15
- y -4x = -12
Substituting the first expression for y into the second equation gives ...
x^2 +2x -15 -4x = -12
x^2 -2x -3 = 0 . . . . . . . . add 12
(x -3)(x +1) = 0 . . . . . . . factor
Solutions are the values of x that make the factors zero: x = 3, x = -1.
The corresponding values of y are ...
y = -12 +4x
y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}
The solutions to the system are ...
(x, y) = (-1, -16) or (3, 0)
Answer:
16 million
Step-by-step explanation:
The United States spends an average $15,908 per pupil on postsecondary education and $33,063 per pupil on graduate and postgraduate education. The nation's gross domestic product (GDP) grows 71.6% faster than public education spending.
Answer:
A
Step-by-step explanation:
We have the expression 
We want to find the value when k is -3. So, substitute -3 for k and evaluate:

Multiply:

Subtract:

Add:

Therefore, our answer is A.