B)m=-1
C)m=14
D)m=-8=-+sqrt33
The equation for the circle is:
(x-8)^2 + (y-1)^2 = 49
If we take 'y' as 1, then
(x-8)^2 + 0 = 49
x-8 = √49
x = ±7 + 8
x = 15 or x = 1
Question:
A boy makes a cone of diameter 28 cm without a base. He then cuts a smaller cone of diameter 20 cm from the cone. He used the bottom part as a lampshade. If the height of the lampshade is 11cm,
(a) find the volume of the whole cone.
(b) find in cm2, the area of the material used to make the lampshade.
Answer:
(a) V ≈ 16420.1
(b) A ≈ 2690.1 cm²
Step-by-step explanation:
Solution for (a)
Formula: The formula for the volume of a cone is V = 1/3 hπr².
V= πr² h/3 = π × 28/ 2 × 20/ 3 ≈ 16420.0576
16420.0576 in nearest tenths is 16420.1
Therefore, the volume of the whole cone is 16420.1 cm²
Solution for (b)
Formula: A = πrl + πr2.
l = r² + h²
Solving for A
A = πr (r + h²+ r²) = π × 20 × (20 + 112 + 202) ≈ 2690.80077
2690.80077 In nearest tenths, is 2690.1
Therefore, the area of the material used to make the lampshade is 2690.1 cm²
For this case we have the following function:
By power properties we can rewrite the function as follows:
We have then:
Then rewriting the function we have:
Answer:
an equivalent function to is: