Answer:
i think it's is annual premium
Answer:
(-3,2)
Step-by-step explanation:
Translate 2 units up means add 2 to the y coordinate.
Answer:
Pauli's pizzeria make more money per pizza
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find out the slope of the graph of Leo's pizzeria
looking at the graph take the point (2,24)
The graph show a proportional relationship (the line passes through the origin)
The slope is m=y/x
we have
For x=2, y=24
substitute
m=24/2=$12 per pizza sold
The linear equation is
y=12x
step 2
Compare the slopes
<em>Pauli's pizzeria</em>
we have
y=15x -----> slope m=$15 per pizza sold
<em>Leo's pizzeria</em>
we have
y=12x -----> slope m=$12 per pizza sold
$15 per pizza sold > $12 per pizza sold
therefore
Pauli's pizzeria make more money per pizza
There isn't enough information because we don't know the amount Jill brought. We know the amounts Bill and Mike bought, but we know nothing about Jill.
Answer:
(x − 4)² + (y − 3)² = 25
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
Given three points on the circle, we can write three equations:
(1 − h)² + (7 − k)² = r²
(8 − h)² + (6 − k)² = r²
(7 − h)² + (-1 − k)² = r²
Expanding:
1 − 2h + h² + 49 − 14k + k² = r²
64 − 16h + h² + 36 − 12k + k² = r²
49 − 14h + h² + 1 + 2k + k² = r²
Simplifying:
50 − 2h + h² − 14k + k² = r²
100 − 16h + h² − 12k + k² = r²
50 − 14h + h² + 2k + k² = r²
Subtracting the first equation from the second and third equations:
50 − 14h + 2k = 0
-12h + 16k = 0
Solving the system of equations, first reduce:
25 − 7h + k = 0
-3h + 4k = 0
Solve with substitution or elimination. Using substitution, solve for k in the first equation and substitute into the second.
k = 7h − 25
-3h + 4(7h − 25) = 0
-3h + 28h − 100 = 0
25h = 100
h = 4
k = 7h −25
k = 7(4) − 25
k = 3
Now plug these into any of the original three equations to find r.
(1 − h)² + (7 − k)² = r²
(1 − 4)² + (7 − 3)² = r²
9 + 16 = r²
25 = r²
The equation of the circle is:
(x − 4)² + (y − 3)² = 25
Graph: desmos.com/calculator/ctoljeqhnp
