What is the radius for this given equation? (x^2+10x) + (y^2-8y)=59
Answers
Answer:
The answer to your question is r = 10
Step-by-step explanation:
Data
(x² + 10x ) + (y² - 8y ) = 59
Process
1.- Complete the perfect square trinomials
(x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²
2.- Simplify
(x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16
3.- Factor
(x + 5)² + (y - 4)² = 100
or (x + 5)² + (y - 4)² = 10²
4.- Compare the result with the standard form
(x - h)² + (y - k)² = r²
then r² = 10²
and r = 10
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The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet. B. A cube with side lengths of 3 feet has a volume of 27 cubic feet. C. 3 sides of the cube have a total length of 27 feet. D. 3 of these cubes will have a total volume of 27 cubic feet.
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How much jelly did Gina use altogether?
A.
Step 1: Add the weights of the two jellies.
Step 2: Divide that sum by 4.
B.
Step 1: Subtract the weight of the strawberry jelly from the raspberry jelly.
Step 2: Multiply that difference by 4.
C.
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Step 1: Subtract the weight of the strawberry jelly from the raspberry jelly.
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Answers
3.2 oz + 4.7oz = 7.9 oz * 4 = 31.6oz total
y = x^2 - 3x + 7
Answers
⇒ 0 =
⇒ factoring we get... 0 = (x-4)² so the x-coordinate for the solution is x = 4
To find the y-coordinate, plug x = 4 into one of the equations (you can plug it into both just to make sure you're right).
y = 5x - 9 plug in x = 4 ⇒ y = 5(4) - 9 = 20 - 9 = 11
y =
∴ The solution to the system is (4, 11) which has y-coordinate 11.
Answers
The simplified form of the fraction 31/33 is 31/33.
What is fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
A fraction,
31/33.
A fraction that can not be factorized further is the simplest form of the fraction.
31 and 33 both numbers do not have a common divisor other than 1.
Therefore, 31/33 is in the simplest form.
To learn more about the fractions;
#SPJ2
B. 4^16/81 square inches
C. 2^8/9 square inches
D. 4^8/9 square inches
Answers
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?
B. x = f(y) = 7 + y
C. y = f(x) = 7x
D. y = f(x) = y – 7
E. y = f(x) = 7 + y
Answers
x = f(y) = 7 + y
Answers
Answer:
Distributive Propety
Step-by-step explanation:
We are given the following information in the question:
Distributive Property:
- It helps us to perform complicated maths problem easily.
- The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products separately.
- Example:
The given problem can be solved as: