From their location in the diagram, what are two possible values for n and m
2 answers:
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Answer: (x - 3)² + (y + 0.5)² = 3.25 →
<u>Step-by-step explanation:</u>
Concentric means they have the same center but different radii.
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
Complete the square to find the center of the circle
x² - 6x + _____ + y² + y + _____ = 1 + ____ + ____
↓ ↓
-6/2 = -3 1/2 = 1/2
Equation: (x - 3)² + (y + 1/2)² = r²
Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².
(x - 3)² + (y + 1/2)² = r²
(4 - 3)² + (-2 + 1/2)² = r²
(1)² + (-3/2)² = r²
1 + 9/4 = r²
13/4 = r²
Equation: (x - 3)² + (y + 1/2)² = 13/4 →
In decimal form: (x - 3)² + (y + 0.5)² = 3.25
Answer:
The total budget of last year is $50,000 .
Step-by-step explanation:
Given as :
The percentage of budget spend on entertainment = 9%
The total budget of this year = $3000 more than that of last year
The money that will be spend this year on entertainment = $4770
Let The total budget of last year = $A
Let The total budget of this year = $B
<u>Now, According to question</u>
Percentage of budget spend on entertainment × total budget of this year = money that will be spend this year on entertainment
Or, 9 % × $B = $4770
Or, × B = 4770
∴ B =
i.e B = $53,000
So,The total budget of this year = B = $53,000
<u>Again</u>
∵ The total budget of this year = $3000 more than that of last year
i.e The total budget of this year = $3000 + total budget of last year
Or, B = $3000 + A
Or, A = B - $3000
Or, A = $53,000 - $3,000
∴ A = $50,000
So,The total budget of last year = A = $50,000
Hence, The total budget of last year is $50,000 . Answer