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IgorLugansk [536]
2 years ago
11

Can someone please explain to me how I'm supposed to solve 2x+y=12? Like step by step solving?

Mathematics
1 answer:
Ne4ueva [31]2 years ago
3 0
Well, first put the function in slop-intercept form (y = mx + b). 2x + y = 12, y - 2x = 12 - 2x, y = -2x + 12. So y = -2x + 12 is the slope-intercept form. Then graph the function to solve for all possible solutions to the function. In y = mx + b, m is the slope and b is the y intercept. In y = -2x + 12, m equals -2, so the slope is -2, and b equals 12, so 12 is the y intercept. Make a point on the y intercept at y = 12. The slope is -2, or -2/1. The graph will be sloping downward. From the point at y = 12, move down two units and to the right one unit and make another point. Then from this new point move down two units and to the right one unit and make another point, and so on. Then to extend the graph in the other direction, start at the point y = 12 and move two units up and one unit to the right and make a point there. Then from this new point move two units up and one unit to the right and make another point there, and so on.
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Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

<h3>How to find the area of the composite figure</h3>

The area of the <em>composite</em> figure is the sum of two areas, the area of a semicircle and the area of a <em>right</em> triangle. The formula for the area of the composite figure is described below:

A = (1/2) · AB · BC + (π/8) · BC²     (1)

If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:

A = (1/2) · (6 cm)² + (π/8) · (6 cm)²

A ≈ 32.137 cm²

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

To learn more on composite figures: brainly.com/question/1284145

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8 0
1 year ago
In a group of mherchants, 80% of them purchase goods from Asia, and 25% of them purchase goods from Europe. Which of following s
monitta

Answer:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

Step-by-step explanation:

I am going to say that:

A is the percentage of merchants who purchase goods from Asia.

B is the percentage of merchants who purchase goods from Europe.

We have that:

A = a + (A \cap B)

In which a is the probability that a merchant purchases goods from Asia but not from Europe and A \cap B is the probability that a merchant purchases goods from both Asia and Europe.

By the same logic, we have that:

B = b + (A \cap B)

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?

We already have B.

Knowing A \cap B, that is, the percentage of those who purchase from both Asia and Europe, we can find b.

So the correct answer is:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

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3 years ago
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Simora [160]

Answer:

Austin will have to buy 180 squares of carpeting.

Step-by-step explanation:

First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.

We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.

18 x 25 = 450

6 x 15 = 90

450 - 90 = 360. The area of the room is 360 ft^{2}

Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 ft^{2}. Divide 360 by 2 and you get 180.

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Answer:

Each book cost $3.55

Step-by-step explanation:

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