Answer:
7. A = π
8. A = 6.25π
9. A = 16π
Step-by-step explanation:
When you have a bunch of similar problems that all use the same formula, it is usually convenient to solve the problem in generic terms, then put in the specific numbers.
You are asked to find A, and you are given the formula ...
To rewrite this as an equation for A, you divide by its coefficient, 4π.
If you like, you can go one step further, replacing C with kπ. Now, you have ...
__
7. k=2, A=(2^2)/4·π
A = π
__
8. k=5, A=(5^2)/4·π
A = (25/4)π
A = 6.25π
__
9. k=8, A=(8^2)/4·π
A = 16π
Answer:
The equation of the line is y = 1/4x + 3
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, 3) and (4, 4). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 3)/(4 - 0)
m = 1/4
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - 3 = 1/4(x - 0)
y - 3 = 1/4x
y = 1/4x + 3
Answer:
252 blue marbles
Step-by-step explanation:
7x36=252 blue marbles
To calculate the inverse isolate x on one side and switch x with y on both sides
1)
y=(2x-3)/5
5y=2x-3
5y+3=2x
(5y+3)/2=x
-> f(x)=(5x+3)/2
2)
y=(x+8)/2
2y=x+8
2y-8=x
-> f(x)=2x-8
3)
y=(x+2)/7
7y=x+2
7y-2=x
-> f(x)=7x-2
4)
y=(1-2x)/x
y=(1/x)-2
y+2=1/x
x=1/(y+2)
-> f(x)=1/(x+2)
