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Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

(55,7)

Step-by-step explanation:

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X² + y² = 49

cluponka [151]

Answer:

1....y=7

2...x=7

3...y=5

4...y=6

5...x=2√10

3 0

3 years ago

Write 2.3181818 as a mixed number

Marina CMI [18]

We convert 2.3181818 to fraction as follows:

Let x = 2.3181818 . . . . . (1)

as can be seen, the repeating digits are 18

Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)

Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)

Subtract equation (3) from equation (2) to get
990x = 2,295

Thus,
$x= \frac{2,295}{990} =2 \frac{7}{22}$

5 0

3 years ago

Write a system of inequalities that defines a shaded region that looks like a<br> right triangle.

eduard

$(1) \ x>0 \\ \\ (2) \ y>0 \\ \\ (3) \ y$

<h2>Explanation:</h2>

A right triangle is a special triangle that has a right angle. In this case, we have to write a system of inequalities that defines a shaded region that looks like a right triangle. First of all, let's say that at the origin the triangle will have a right angle. To do so, we'd need to set:

$x>0 \\ \\ y>0$

So the shaded region in this first part will be the First Quadrant as indicated in the first figure below. So if the opposite side lies on the x-axis the adjacent side will lie on the y-axis or if the adjacent side lies on the x-axis the opposite side will lie on the y-axis. Everything is ok up to this point. We just need to define the hypotenuse, so we'd need to define a line. In order to have a right triangle, we need a line with negative slope and positive y-intercept shaded under the line. So, this inequality could be:

$y$