Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>
(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:
Collect like terms and subtract 4 from both sides:
Complete the square for both variables by adding the square of half of the coefficient of 
and 
to both sides:
Factor both variables:
Therefore:
- center = (-2, 6)
- radius = √36 = 6
Answer:
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Step-by-step explanation:
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Answer: 90 visitors per hour
Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.
To find out what goes in the bank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 450/5 that has a 1 in the denominator.
If we divide the numerator and denominator of 450/5 by 5,
we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.
So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.
So a 90 must go in the blank.
This means that the museum sees 90 visitors per hour.
Answer:
700 miles
Step-by-step explanation:
Since the scale is 0.5 and she's 7 inches away on the map, you divide 7 by 0.5 and get 14. Then, you multiply 14 by 50 because each inch is 50 miles.
A reflection over the Y-axis would be the flipped point or set of points across the y axis while still retaining the same distance from the y-axis.
:)
