C= 2 (pi) r
d= 14 cm
d= 2r
r= 7 cm
c= 2 (pi) (7cm)
c= 43.98
hope that helps
Answer: Yes, the point (3,4) is a solution to the system.
===================================================
Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
This gives:
Substitute values for f(0) and f(1)
The slope of g(x) can be gotten using the following comparison
So:
Solving (b): Compare the y intercept
y intercept is when 
From the table of f(x)
From the equation of g(x)
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Answer:
12
Step-by-step explanation:
3 + x>-9 x=12 15>-9
Answer:
He washed 160 more cars this year than last year.
Step-by-step explanation:
Last year: He washed a total of 1,040 cars.
This year: He washed a total of 1,200 cars.
1,200
<u>- 1,040</u>
160
