Answer:
33.2 inches²
Step-by-step explanation:
Steps to derive the answer
- we are going to first determine the radius from the circumference
- we would calculate the area
Circumference of a circle = 2nr
n = 3.14
r = radius
20.41 = 2x 3.14 x r
Divide both sides by (2 x 3.14)
r = 3.25 inches
Area of a circle = nr²
3.14 x 3.25² = 33.2 inches²
Answer:
3.75
Step-by-step explanation:
35 - 31 1/4 = 3.75
Do elimination
2x + y = 3
x - y = 3
Add these
3x = 6
X = 2
Plug in 2 for x
4(2) + 2y = 6
8 + 2y = 6
2y = -2
X = 2, y = -1
Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
Answer:
thanks i guess i kind of like you don´t get mad
Step-by-step explanation:
