Answer:
a = 10/3.
Step-by-step explanation:
We write the linear function as follows:
f(x) = mx + b where m is the slope and b is the y-intercept.
f(6) = 6m + b = 8
f(2) = 2m + b = 20 Subtracting these 2 equations:
4m = -12
m = -3.
and -3 * 2 + b = 20 so:
b = 20 + 6 = 26.
So we have the linear function:
f(x) = -3 x + 26
f(a) = 16 = -3 a + 26
-3 a = 16-26
a = -10 * -3 = 10/3.
Answer:
I used Desmos. Heres a picture of what its supposed to look like.
Step-by-step explanation:
By definition. The volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
2254 pi = (4/3) * (pi) * (r ^ 3)
Clearing the radio we have:
r ^ 3 = (3/4) * (2254)
r = ((3/4) * (2254)) ^ (1/3)
r = 11.91255883
Then, the surface area is:
A = 2 * pi * r ^ 2
Substituting values:
A = 2 * 3.14 * (11.91255883) ^ 2
A = 891.6 m ^ 2
Answer:
The surface area of the sphere is:
b. 891.6 m ^ 2
Step-by-step explanation and the Answer:
Combine Like Terms. Now the equation looks like this: 
Then Subtract 
from both sides. Then the equation looks like this after u subtract from both sides: 
Now divide 
from both sides. Now the equation looks like this after u Divide from both sides: 
So therefore the answer is .
<u><em>Answer:</em></u>
(-2, 5/3)
<u><em>Step-by-step explanation:</em></u>
<u><em /></u>
Substitute x with -2 and solve
y = 2/3(-2) + 3
Multiply 2/3 and -2
y = -4/3 + 3
Add
-4/3 + 3 = 5/3
y = 5/3
<u><em></em></u>
<u><em>Final answer:</em></u>
(-2, 5/3)
