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3 years ago

WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST

Mathematics

1 answer:

densk [106]3 years ago

5 0

Answer:

x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.

The slope of the top (left) line is negative, so the equation will be of the form ...

x + 4y = something

When y=0, x=15, so the "something" is expected to be 15.

However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.

The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...

x + 4y ≤ something . . . . . part of the 3rd answer choice

The fact that the shading does not go below y=0 means the other limit is ...

y ≥ 0 . . . . . part of every answer choice.

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Sladkaya [172]

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Step-by-step explanation:

slope=rise/run=20/10=2/1=2.

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3 years ago

Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found that solution.

Afina-wow [57]

Answer:

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3 years ago

Read 2 more answers

Explain how to fin 4 x 80. show your work

algol [13]

4x80=320

Work:

4x8 = 32
(4+4+4+4+4+4+4+4)
Now carry the 0 and you get 320

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3 years ago

What should be multiplied to 288 to become it a perfect square

AfilCa [17]

Greetings from Brasil...

Follow the reasoning.

288 ÷ 2 = 144

and 144 its a perfect square (144 = 12²)

It is visible that if we multiply 288 by 1/2, we will obtain a perfect square, but we will do this via a simple equation

288 · X = 144

X = 144 ÷ 288

X = 0,5 ⇔ X = 1/2

6 0

3 years ago

A diameter of a circle has endpoints p(-10,-2) and Q(4,6)

hodyreva [135]

Answer:

a. (-3,2)

b. sqrt65

Step-by-step explanation:

a. To find the center of the circle, you can think of it just like finding the midpoint between the two endpoints. To find a midpoint between two endpoints, you take the average of the x values to get the x coordinate, and you take the average of the y values to get the y coordinate of the midpoint. Therefore, if (-10, -2) is (x1, y1) and (4, 6) is (x2, y2), the midpoint/center of the circle would be:

( (x1+x2)/2, (y1+y2)/2 ). When you plug in our x and y values, you get (-3, 2).

b. To find the radius of a circle, you need to know the center/midpoint of the circle which we solved for in part a. The formula for finding the radius of a circle with the center is (x-h)^2 + (y-k)^2 = r^2 for (h, k) as the center. The coordinates of the center that we found earlier for this circle are (-3, 2). With that, we just plug in our numbers into the formula, and we get:

(x+3)^2 + (y-2)^2 = r^2. Now, to get r, we can choose one of the original two endpoints given and plug in the x and y coordinates from that point into this equation. I like (4, 6), so I'm going to plug in 4 for x and 6 for y, and so we get (4+3)^2 + (6-2)^2 = r^2 which equals 49 + 16 = r^2 when simplified. 49 plus 16 is equal to 65, so we get 65 = r^2. To finally get r, we square root both sides of the equation to get r = sqrt65 which is already in the simplest radical form.

c. The circle equation is (x-h)^2 + (y-k)^2 = r^2, like I said in part b. Therefore, we already have our circle equation! We just plug in our center points and we get (x+3)^2 + (y-2)^2 = sqrt65. This is usually an equation a question will give you for a circle, and with this information, they will expect you to find the center (h, k) or the circle and it's radius, r.

4 0

3 years ago

** WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST **

WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST