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BartSMP [9]
3 years ago
9

Find the midpoint of segment JP, given J(-4,6) and P(-12,-2).

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Answer:

The answer is

<h2>( - 8 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,6) and P(-12,-2)

The midpoint is

<h3>M = ( \frac{ - 4 - 12}{2}  ,  \:  \frac{6 - 2}{2} ) \\  = ( -  \frac{16}{2} ,  \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( - 8 , 2)</h3>

Hope this helps you

You might be interested in
Evelyn took a job that paid $100 the first week. She was guaranteed a raise of 2% each week. How much money will she make in all
Zanzabum
This is a growth exponential equation. 
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times. 

The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.

Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L_{8} = 100 + (n - 1)*0.02*100
L_{8} = 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more. 


6 0
3 years ago
Write the equation for g(x)
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

g(x) = (x+4)² - 5

8 0
3 years ago
The number of students attending summer school at a local community college has been decreasing each year by 7%. If 847 students
alina1380 [7]

Answer:

≈ 634

Step-by-step explanation:

n = 847(1 * .07)^4

n = 847(0.93)^4

n = 633.60005247

n ≈ 634

3 0
3 years ago
A coin is tossed 200 times, if the probability of getting a head is 5/8, how many times tail is obtained in all in tossing the c
koban [17]

Answer:

You would get tails 75 times, or 75:200

Step-by-step explanation:

5:8 = x:200

multiply 8 by 25 to get 200

multiply 5 by 25 to get x (125)

Probability to get heads is 125 so subtract 200 by 125

200 - 125 = 75

6 0
3 years ago
What is the y-intercept of y=-3x + 6?<br> O 6<br> -3<br> 3<br> 0 6
Bezzdna [24]

Answer:

6

Step-by-step explanation:

Slope intercept form is y=mx+b, with m being the slope and be being the y intercept, so when you look for what b is in the equation for y=-3x+6 then 6 is b.

5 0
2 years ago
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