Answer:
(x - 5)² + (y - 2)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Here (h, k ) = (5, 2 ) and r = 3 , then
(x - 5)² + (y - 2)² = 3² , that is
(x - 5)² + (y - 2)² = 9
Answer:
Step-by-step explanation:
we know that
The volume of a cylinder (sculpture) is equal to
In this problem we have
----> the radius is half the diameter
substitute the values
The equation that models the scenario is y = 12.95 + 14.95x
<h3>How to determine the linear equation?</h3>
The given parameters are:
Ranch charge = $12.95
Entrance fee = $14.95 per house
Represent the number of houses with x, and the total charge with y
So, we have:
y = Ranch charge + Entrance fee * x
This gives
y = 12.95 + 14.95x
Hence, the equation that models the scenario is y = 12.95 + 14.95x
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Answer:
-7503.2
Step-by-step explanation:
you multiply -415 by 6.1 then add it to -415 times 12 added by positive 8.3
The system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, yolanda used is n + q = 28
n + q = 280.05n + 0.25q = 4
<h3>Simultaneous equation</h3>
n + q = 28
0.05n + 0.25q = 4
n = 28 - q
0.05n + 0.25q = 4
0.05(28 - q) + 0.25q = 4
1.4 - 0.05q + 0.25q = 4
- 0.05q + 0.25q = 4 - 1.4
0.20q = 2.6
q = 2.6 / 0.20
q = 13
Substitute into
n + q = 28
n + 13 = 28
n = 28 - 13
n = 15
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