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Colt1911 [192]
3 years ago
14

The coordinates of the midpoint of segment GH are M (4,3) and the coordinates of one endpoint are G (5,-6)

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-6})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+5}{2}~~,~~\cfrac{y-6}{2} \right)~~=~~\stackrel{\stackrel{midpoint}{M}}{(4,3)}\implies \begin{cases} \cfrac{x+5}{2}=4\\[1em] x+5=8\\ \boxed{x=3}\\ \cline{1-1} \cfrac{y-6}{2}=3\\[1em] y-6=6\\ \boxed{y=12} \end{cases}

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Which angles are adjacent to eachother
JulsSmile [24]

Answer:

3 and 2 i'm pretty sure

Step-by-step explanation:

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3 0
3 years ago
15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (9/8)^x represents t
Ainat [17]
I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).
Step-by-step explanation:
Starting equation: f(x)=15,000(9/8)^x
You can clean up the 9/8 to be 1.125
Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707
Next multiply 1.8020324707 by 15,000 and you get 27030.4870605
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5 0
3 years ago
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
exis [7]

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

4 0
2 years ago
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de
frez [133]

Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

What is the value of b in this equation?

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair

Writing the above in an equation =

y = $70 × x + $40

y = 70x + 40

Therefore, the value of b in the expression = 40

3 0
3 years ago
-4c - 11 = 4c +21<br><br> Please help! I have literally no idea
MissTica
<span> -4c - 11 = 4c +21                                        add 4c to both sides
</span>
<span> -4c - 11 + 4c = 4c + 21 + 4c                        simplify

- 11 = 8c + 21</span>                                <span>               subtract 21 from both sides

- 11 - 21 = 8c + 21 - 21                                </span><span>simplify

- 32 = 8c                                                      divide both sides by 8

c = - 4


That's it






</span>

I hope you got the idea



3 0
3 years ago
Read 2 more answers
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