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aev [14]
3 years ago
12

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

A = (x + 25)(x + 15) - 30

Step-by-step explanation:

This question is not complete without a figure; find the figure attached.

Marissa is painting a regular patio with dimensions as

Length = (x + 25) units

Width = (x + 15) units

Area of this rectangular patio = Length × Width

Area = (x + 25)(x + 15) unit²

She has to paint the patio except the bench that does not need to be painted.

Dimensions of the rectangular bench,

Length = 10 units

Width = 3 units

Area of the bench = 10×3 = 30 units²

Area of the patio to be painted = Area of patio - Area of bench

                                                A = (x + 25)(x + 15) - 30

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A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is t
Gre4nikov [31]

Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

(x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

(x^2+18x)+(y^2+14y)=-105

For the first section, complete the square for x^2+18x:

x^2+18x+81-81

(x+9)^2-81

Do the same for the second:

y^2+14y

y^2+14y+49-49

(y+7)^2-49

All together:

((x+9)^2-81)+((y+7)^2-49)=-105

(x+9)^2+(y+7)^2-130=-105

(x+9)^2+(y+7)^2=25

The center is (-9,-7).

The radius is \sqrt{25}=5

5 0
3 years ago
Given the functions a(x) = 3x - 12 and b(x) = x-9, solve a[b(x)].
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

hello :

a(x) = 3x - 12 and b(x) = x-9, so

a[b(x)]=a(x-9) =3(x-9)-12

a[b(x)]=3x-9-12

a[b(x)]=3x+21

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2 years ago
What is the volume of the prism below?
sveta [45]

Answer:

The answer is the second option

Step-by-step explanation:

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4 0
3 years ago
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Solve the equation 6x+3y=15for y what does y equal if x=2 if x=5
avanturin [10]
6x+3y=15
6*2+3y=15
12+3y=15
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6x+3y=15
6*5+3y=15
30+3y=15
      3y=-15
        y=-5

The answers is y=1 & -5

3 0
3 years ago
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Gnoma [55]

Answer:

6 meters

Step-by-step explanation:

Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6

7 0
2 years ago
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