Answer:
Step-by-step explanation:
See the attached figure.
y₁ = 25x and y₂ =x²
The intersection between y₁ and y₂
25x = x²
x² - 25x = 0
x(x-25) = 0
x = 0 or x =25
y = 0 or y =25² = 625
The points of intersection (0,0) and (25,625)
To find the volume of the solid obtained by rotating about the y-axis the region bounded by y₁ and y₂
y₁ = 25x ⇒ x₁ = y/25 ⇒ x₁² = y²/625
y₂ =x² ⇒ x₂ = √y ⇒ x₂² = y
v = ∫A(y) dy = π ∫ (x₂² - x₁²) dy
∴ V =
Answer:
19
Step-by-step explanation:
Tangent Chord Angle = 1/2 Intercepted Arc
67 = 1/2 ( 4x+58)
Distribute
67 = 2x+29
Subtract 29 from each side
67-29 = 2x+29-29
38 = 2x
Divide by 2
38/2 = 2x/2
19 =x
Answer:
Step-by-step explanation:
72
Answer:
160 miles
Step-by-step explanation:
200 * 0.8 is 160
Answer:
8. m=6
9. x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.
Step-by-step explanation:
Question 8:
2m-6=m
-2m -2m (subtract 2m from both sides)
<u>-6</u>=<u>-m</u>
- - (divide both sides by the negative)
m=6
Question 9:
<u>8x</u>=<u>16 </u> (divide both sides of the equation by 8)
8 8
x=2
