Answer:
f(7) = -113
Step-by-step explanation:
Hello!
Substitute 7 for x in the equation.
<h3>Evaluate</h3>
- f(x) = -4x² + 10x + 13
- f(7) = -4(7)² + 10(7) + 13
- f(7) = -4(49) + 70 + 13
- f(7) = -196 + 70 + 13
- f(7) = -113
f(7) is -113.
Answer:
2.5 pi
Step-by-step explanation:
Comment
If you were trying to get the area of a whole circle, you would use
Area = pi r^2
You have to modify the formula to show that just part of the circle has an area that you are interested in.
The new formula is
Area = (theta/360) pi r^2
Givens
r = 30 cm
theta = 100
Solution
Area = (100 / 360) * pi * r^2 Substitute the givens into this formula
Area = (5 / 18) * pi * 3^2 Expand
Area = (5 / 18) * pi * 9 Cancel 9 into 18
Area = 5/2 * pi
Area = 2.5 * pi
We have an equation: 56/? = 4/100
Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4 = 1,400
There are 1,400 blank days~
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Answer:
option A
x=15/2
Step-by-step explanation:
refer to the above attachment
sorry for the messy writing:^