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tangare [24]
3 years ago
5

You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius

has its center at the tree. If the corner of your porch is the origin and forward is the positive y direction, what equation represents the circle formed by the fence in your yard?
Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

(x+4)^2+(y-5)^2=9

Step-by-step explanation:

If the corner of your porch is the origin

  • 4 ft to the left, x=-4
  • 5 ft in front, y=5

The tree's location is at (-4,5).

  • A circular fence 3 ft in radius has its center at the tree(-4,5).

We want to determine the equation of a circle with center (-4,5) and radius 3 ft.

The equation of a circle center (h,k) with a radius of r is given as:

(x-h)^2+(y-k)^2=r^2

(h,k)=(-4,5), r=3

The equation formed by the fence therefore is:

(x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9

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3/4 over 3 1/4 simplified is?
Sergio039 [100]

Answer:

Convert  

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Combine the numerators over the common denominator.

3

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Simplify the numerator.  

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12

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−

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3

4

Add  

12

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13

4

−

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3

4

Convert  

1

3

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

13

4

−

(

1

+

3

4

)

Add  

1

and  

3

4

.

13

4

−

7

4

Combine the numerators over the common denominator.

13

−

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Subtract  

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from  

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.

6

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Cancel the common factor of  

6

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Factor  

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2

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3

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Cancel the common factors.

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⋅

2

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Decimal Form:

1.5

Mixed Number Form:

1

1

2

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP
Rom4ik [11]

The answer is 15 square ft

7 0
3 years ago
A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%, how many dollars is the sale price of t
RUDIKE [14]

If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

The cost after 15% off will be

→ 0.85 × $8,900

→ $ 7,565

Then the final cost after the sale tax of 8.25% will be

Cost = $ 7,565 × 1.0825

Cost = $ 8,189.11

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ1

6 0
2 years ago
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