Answer:8w^2+2
w(3w+2)+5w
First distribute the w to the parentheses:
3w^2+w
Add on the 5w to the new equation:
3w^2+2w+5w
Combine like terms:
8w^2+2
Answer:
90°
Step-by-step explanation:
It looks slightly obvious, but here's the complicated explanation.
Converse of the Consecutive Interior Angles Theorem. Solve.
x+96+x+96=180
Simplify.
2x+192=180
Subtraction Property of Equality (subtract 192 from both sides to isolate 2x).
2x=-12
Division Property of Equality (divide both sides by 2 to isolate x).
x=-6
Now that you have your x value, plug it in into your bolded equation.
x+96
-6+96
Simplify.
90°
Given:
The given equation is:

To find:
The solution for the given equation.
Solution:
We have,

On simplification, we get

Squaring both sides, we get




Divide both sides by -2.


Therefore, the correct option is B.
Answer:
y= -2/1x + 8 or y= -2x + 8
Step-by-step explanation:
Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet