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Sunny_sXe [5.5K]
3 years ago
12

Find the coordinate of the midpoint M given the two endpoints

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

The midpoint would be (7, 5)

The midpoint of any two points is simply the average of the x points and the average of the y points. So we'll start by averaging the 2 x points together. To take an average, we add the two numbers together and divide by 2.

X VALUE

4 + 10 = 14

14/2 = 7

Now do the same for y

Y VALUE

22 + -12 = 10

10/2 = 5

Using those answers we can create the ordered pair (7, 5)

You might be interested in
4:3 19:11 equivalent ratios?
maria [59]

Answer:

No

Step-by-step explanation:

We can tell if these ratios are equivalent by dividing the numerators and denominators. <em>If we end up with the same result, these ratios are equivalent</em><em>.</em>

<em />

<em />\frac{4}{3}<em>   </em>\frac{19}{11}<em />

<em />

<em />19 \div 4 = 4.75\\\\11\div 3 = 3.\overline{66}<em />

<em />

These two numbers are not equivalent, so these ratios aren't equivalent to each other

Hope this helped!

6 0
3 years ago
Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
lisabon 2012 [21]

The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1

So, we have:

f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15

Evaluate

f(x) = -2x + 3

Also, we have:

g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

#SPJ1

7 0
2 years ago
Work out<br> (8 x 1011) : (4 x 1017<br> Give your answer in standard form.
solniwko [45]
Answer: 1988 x 10^-3

Explanation:
(8 x 1011)/(4x1017)
= 8(1000+11)/4(1000 + 17)
= 2(1000+11)/1017
= 2022/1017 is approximately 1.988
Which in standard form 1988 x 10^-3
8 0
3 years ago
Olaf earned $416.03 commission on his sales of $9245.00. What was his rate of commission?
Crank

Answer:

$1 per $22.22 sold.

Step-by-step explanation:

To find this answer, I divided his sales by his amount earned.

9245.00/416.03=22.22

This shows the for every 22.22 dollars sold, he recieved one dollar in commission.

Hope this helped! Thanks for posting your question! If correct, please award brainliest!

8 0
3 years ago
A cyclist travels 8 miles in 15 minutes.<br> What is her average speed in mph?
Ludmilka [50]

Answer:

0.53 mph

Step-by-step explanation:

A cyclist travels 8 miles in 15 minutes.

So the average speed is

=8/15 mph

=0.53 mph

8 0
3 years ago
Read 2 more answers
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