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Elanso [62]
3 years ago
12

Please help me with this question.

Mathematics
2 answers:
dangina [55]3 years ago
8 0

Answer:

a. 1.5 inches wide.

Step-by-step explanation:

If the width of the frame is x the length of the picture + frame = 2x + 12 and the width is 2x + 9 , so we have the following equation:

The total area = (2x + 9)(2x + 12) = 180

4x^2 + 24x + 18x + 108 = 180

4x^2 + 42x - 72 = 0

2(2x^2 + 21x - 36) = 0

2 (2x - 3 )(x + 12) = 0

x = 1.5 , -12  (we ignore the negative root).

igomit [66]3 years ago
7 0
The correct answer is “a”
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Answer:

310 inches²

Step-by-step explanation:

Given: A rectangular prism cage has a height of 28 inches.

           Volume of prism is 8680 cubic inches.

           

We know the area of base of rectangular prism is equal to the area of rectangle.

∴ Lets find out the lenght and width of rectangular prism.

Volume of rectangular prism= w\times l\times h

Where, w is width

             l is length

             h is height.

Now, putting the value in the formula of volume.

⇒ 8,680= w\times l\times 28

cross multiplying

⇒ wl= \frac{8680}{28}

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As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.

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Hence,  310 inches² is the area of the plastic mat on the bottom of the cage.

4 0
3 years ago
The graph of a linear function is shown on the grid
monitta

Answer: Choice A

y + 1 = -3(x+2)

=============================

Explanation:

Let's look through the answer choices.

Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.

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The answer must be choice A because the line is going downhill as we move from left to right.

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A common method is to pick two points on the line and compute the slope using the slope formula

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Once you know the slope, you would use point slope form

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