By using the general equation for a circle, we will see that the correct options are:
- 1) This is a circle centered at (-3, - 5) with a radius of 4 units.
- 2) The center is (-3, 5) and the radius is 2 units.
- 3) The center is (3, 5) and the radius is 2 units.
- 4) This is a circle centered at (3, - 5) with a radius of 4 units.
<h3>
How to write a circle equation?</h3>
For a circle of radius R and center (a, b), the equation is given by:
(x - a)^2 + (y - b)^2 = R^2
With that in mind, if we look at the first equation:
(x + 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (-3, - 5) with a radius of 4 units.
For the second equation:
(x + 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (-3, 5) and the radius is 2 units.
The third equation is:
(x - 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (3, 5) and the radius is 2 units.
The fourth equation is:
(x - 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (3, - 5) with a radius of 4 units.
If you want to learn more about circles, you can read:
brainly.com/question/14283575
I would assume that you convert 2.5 ounces into punds which would make it 0.15 lbs.
Answer:
Yellow and purple
Step-by-step explanation:
Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
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Step-by-step explanation:
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12 = (n/100) * 80 ;
12 = (80n) /100 ; Solve for "n:
Note: 80/100 = (80/10) / (100/10) = (8/10) = 0.8 ;
12 = (0.8)n ;
↔ (0.8n) = 12
Multiply each side of the equation by "10" ; to get rid of the "decimal" ;
10 * (0.8n) = 10 * 12 ;
to get:
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8n = 120 ;
Divide each side of the equation by "8" ;
to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;
8n/8 = 120/ 8 ;
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to get:
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n = 15 .
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Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
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Hope this helps!
Best wishes!
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The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
Cross multiply and solve:
There are 100 calories per cup of cereal.
To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
There are 400 calories in 4 cups of cereal.