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Shkiper50 [21]
3 years ago
15

Y=−2x+7 and y=0.5x−5.5 point of intersection

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

(5, -3)

Step-by-step explanation:

Substitute -2x + 7 for y in the 2nd equation, and then solve the resulting equation for x:

-2x + 7 = 0.5x - 5.5

Combining like terms, 2.5x = 12.5, or x = 5.

Subbing 5 for x in the first equation, we get:  y = -2(5) + 7 => y = -3

The solution is (5, -3)

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8 x 6 = 48 + 3 = 51/8
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What percent of the buildings are no taller than 345 meters?
irina [24]

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3 0
3 years ago
Gena attached a dog ramp to her sofa, which allows her oldest dog to easily climb onto a seat cushion. The ramp is 55 inches lon
matrenka [14]

The distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

<u><em>Explanation</em></u>

According to the diagram, length of the ramp is, AC= 55 inches. The top of the seat cushion is 28 inches above the floor. That means, BC=28 inches

We need to find the distance from the base of the ramp to the base of the sofa which is AB

In right angle triangle ABC, using Pythagorean theorem...

AC^2 = AB^2 + BC^2\\ \\ (55)^2= AB^2 + (28)^2 \\ \\ AB^2 = (55)^2 - (28)^2 \\ \\ AB^2 = 3025 - 784\\ \\ AB^2 = 2241\\ \\ AB = \sqrt{2241}= 47.3

So, the distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

4 0
3 years ago
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Vlad [161]

Answer:


Step-by-step explanation:


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4 years ago
Quante’ had 15.3 feet of fishing line. He cut off a piece and had 3.2 inches left. How long was the piece he cut off?
Licemer1 [7]

Answer:

180.4 inches (15.033 feet)

Step-by-step explanation:

To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.

6 0
3 years ago
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