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goldfiish [28.3K]
3 years ago
8

Why are the coordinates, (-4, 3), (-2, 3), (1, 1), (3, 5), and (4, -4) a function?

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0
A function cannot have multiple y values for a unique x value. For example you could not have (1,5) and (1,6) as a function. The points (-4,3) and (-2,3) might seem a little confusing since it has two of the same number, but it doesn't matter what the y vlaue is as long as a single x value does not have multiple y values.
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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
spin [16.1K]
The other endpoint is (1, -17).

The midpoint formula is:

m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Using our midpoint and endpoint, we have:
(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}


For the first equation (to find the x-coordinate) we will multiply both sides by 2:
6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).
4 0
3 years ago
9n+21−3n−24 simplify
Thepotemich [5.8K]
Alright First you combine the like terms. 
9n - 3n = 6n 
21 - 24 = -3 

Rewrite the simplified equation
6n - 3 = 0

Solve for n 
6n = 3 
n = 3/6 
n = 1/2 

Ask if you need more help! :)

6 0
3 years ago
The snack bar at your school has added sushi to its menu. The ingredients for one roll include sushi​ rice, seaweed​ sheets, cuc
amid [387]

Answer:

The answer si:  

- 16 servings - 6 oz of salmon

- 24 servings - 9 oz of salmon

- 80 servings - 30 oz of salmon

- 100 servings - 37.5 oz of salmon

1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.

Now, let's made some proportions:

16 servings:

3 oz is for 8 servings, how much oz is for 16 servings:

3 : 8 = x : 16

x = 3 · 16 ÷ 8 = 6 oz

24 servings:

3 oz is for 8 servings, how much oz is for 24 servings:

3 : 8 = x : 24

x = 3 · 24 ÷ 8 = 9 oz

80 servings:

3 oz is for 8 servings, how much oz is for 80 servings:

3 : 8 = x : 80

x = 3 · 80 ÷ 8 = 30 oz

100 servings:

3 oz is for 8 servings, how much oz is for 100 servings:

3 : 8 = x : 100

x = 3 · 100 ÷ 8 = 37.5 oz

5 0
3 years ago
The slope of a line is 58, and the line passes through the point (−8,−4).
nadezda [96]

Answer:

y=58x+460

Step-by-step explanation:

y=mx+b

We are given m=58 so we have

y=58x+b

We are given (-8,-4) is a point on the line.

-4=58(-8)+b

-4=-464+b

460=b

So the line in slope intercept form is y=58x+460

5 0
3 years ago
Read 2 more answers
PLEASE HELP!! Find the surface area of each figure to the nearest tenth. Show your work.
hram777 [196]
Surface area = 2(ab+bc+ac)
a=5.2 ft,  b=2.4 ft, c=3.5ft

Surface area = 2(5.2 * 2.4 + 2.4 * 3.5 + 3.5 * 5.2) =
                         2(12.48 + 8.4 + 18.2) = 
                         2 * 39.08 =
                         78.16 ≈ 78.2 ft²   ← <span>to the nearest tenth</span>
7 0
3 years ago
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