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3 years ago

Solve x^2 + y^2 = 81 for x. Show solution steps.

Mathematics

1 answer:

Charra [1.4K]3 years ago

7 0

Answer:

x = ±√(81 -y^2)

Step-by-step explanation:

Subtract y^2 and take the square root.

x^2 +y^2 -y^2 = 81 -y^2 . . . . . subtract y^2

x^2 = 81 -y^2 . . . . . simplify

x = ±√(81 -y^2) . . . . take the square root

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Santana wants to give one-thenths of all his marbles plus eight to his brother. Which expression can Santana use to calculate ho

Schach [20]

For this case we have the following variable:
m = Santana's total marbles
We must write an expression as a function of m to model the problem.
"Santana wants to give one-thenths of all his marbles plus eight to his brother"
The function is:
f (m) = (1/10) m + 8
Answer:
An expression that Santana can use is:
f (m) = (1/10) m + 8

8 0

3 years ago

Sarah used a scale of ½ inch = 3 feet for a drawing of her business. On the drawing, a rectangular room measures 2 ½ inches by 3

Korolek [52]

Answer:

The new carpet will cost $1279.13 to the nearest cent

Step-by-step explanation:

The given is:

1. Sarah used a scale of $\frac{1}{2}$ inch = 3 feet

2. On the drawing, a rectangular room measures $2\frac{1}{2}$ inches

by $3\frac{3}{4}$ inches

3. Sarah wants to purchase new carpet for the room that costs $3.79

per square foot

We need to find much the new carpet will cost

∵ The scale is 0.5 inch = 3 feet

∵ The dimensions of the room on the drawing are $2\frac{1}{2}$ inches and

$3\frac{3}{4}$ inches

∵ $2\frac{1}{2}$ = 2.5

∵ $3\frac{3}{4}$ = 3.75

Use the ratio method

→ inches : feet

→ 0.5 : 3

→ 2.5 : x

→ 3.75 : y

- By using cross multiplication

∴ 0.5 x = 2.5 × 3

∴ 0.5 x = 7.5

- Divide both sides by 0.5

∴ x = 15 feet

∴ 0.5 y = 3.75 × 3

∴ 0.5 y = 11.25

- Divide both sides by 0.5

∴ y = 22.5 feet

∴ The actual dimensions of the room are 15 feet and 22.5 feet

Now lets find the area of the room which is the area of the carpet

∵ Area of the carpet = 15 × 22.5

∴ Area of the carpet = 337.5 feet²

∵ The cost of the carpet is $3.79 per square feet

∴ The cost of the carpet = 3.79 × 337.5 = 1278.125

∴ The cost of the carpet = $1279.13 to the nearest cent

The new carpet will cost $1279.13 to the nearest cent

Learn more:

You can learn more about ratio in brainly.com/question/13076219

#LearnwithBrainly

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4 years ago

Jesse scored 144 points this football season. He scored all his points with 50 yard field goal kicks, which are worth 3 points e

Kazeer [188]

Answer:

Jesse makes 290 points in the season

Step-by-step explanation:

I did 144+150 and that equals 290

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3 years ago

What is 6(p+6)- (p-6)

Alex_Xolod [135]

Answer:

5p+42

Step-by-step explanation:

6(p+6)- (p-6)

Distribute

6p +36 - p +6

Combine like terms

6p -p + 36 +6

5p+42

6 0

3 years ago

Solve for x.<br><br><br><br> 5+x+(−2)=−8

Feliz [49]

5+x+(−2)=−8
Simplify
5 + x - 2 = -8
x + 3 = -8
Subtract 3 to both sides
x + 3 - 3 = -8 +3
Simplify
x = -5

6 0

3 years ago

Read 2 more answers