Step-by-step explanation:
If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.
Answer: B
The difference in area between the top surfaces of the two cakes is 28.26 inches²
<h3>Area of a circle</h3>
where
r = radius
Therefore,
area of top layer = πr²
d = 2r
r = d / 2
r = 8 / 2
r = 4 inches
area of top layer = 3.14 × 4²
area of top layer = 3.14 × 16
area of top layer = 50.24 inches²
area of the bottom layer = πr²
r = 10 / 2 = 5 inches
area of the bottom layer = 3.14 × 5²
area of the bottom layer = 3.14 ×25
area of the bottom layer = 78.5 inches²
Difference in area between the top surfaces of the two cakes can be found as follows:
- 78.5 - 50.24 = 28.26 inches²
learn more on circle here: brainly.com/question/10264279
Answer:
C.
f(x) = 8*(x - 1)²
f(x) = 8x² - 16x + 8
Step-by-step explanation:
vertex form:
f(x) = a*(x - h)² + k
where (h, k) is the vertex of the parabola
In this case, the vertex of the parabola is at (1, 0). Replacing this information into the equation we get:
f(x) = a*(x - 1)²
The parabola passes through point (2, 8). Replacing this information into the previous equation we get:
8 = a*(2 - 1)²
8 = a
Then, the final equation is:
f(x) = 8*(x - 1)²
Expanding the quadratic term and applying distributive property:
f(x) = 8*(x² - 2x + 1)
f(x) = 8x² - 16x + 8
I showed the work for the first question in the image attached. For the second question, it's C
Answer:
2/3x
Step-by-step explanation:
x is like 1x minus 1/3.
so to combine I do 1/1x
then 3/3x
finaly 3/3 minus 1/3: 2/3.
Hope this helps.