Answer:
(x + 5)^2 + (y + 8)^2 = 6^2
Step-by-step explanation:
A circle formula: (x - h)^2 + (y - k)^2 = r^2
We are given diameter. To find the radius divide diameter by 2.
d = 12
12/2 = r = 6
H and K are given to be (-5 , -8)
(x - (-5))^2 + (y - (-8))^2 = 6^2
(x + 5)^2 + (y + 8)^2 = 6^2
I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.
Answer:
A. √25
General Formulas and Concepts:
<u>Math</u>
- Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
- Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction
Step-by-step explanation:
<u>Step 1: Define</u>
A. √25
B. √123
C. √20
D. π
<u>Step 2: Identify</u>
A. √25 = 5; Rational
B. √123 ≈ 11.0905...; Irrational
C. √20 = 2√5 ≈ 4.47214...; Irrational
D. π ≈ 3.1415926535897932384626433832795...; Irrational
Therefore, our answer choice is A.
Answer:
75 ft^2
Step-by-step explanation:
I assume you mean a 5 ft x 15 ft rectangle. That's 5*15
-4x + 6y = 12
x + 2y = -10
First solve for x in the second equation
x + 2y = -10
x = -10 - 2y
Now we have a value for x so we can substitute it into the other equation
-4 (-10 - 2y) + 6y = 12
Now solve for y
40 + 8y + 6y = 12
40 + 14y = 12
14y = -28
y = -2
Now we have a value for y that we can plug into one of the original equations so we can solve for x
x + 2y = -10
x + 2(-2) = -10
x - 4 = -10
x = -6
Your solution set is
(-6, -2)
