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iren2701 [21]
3 years ago
15

Find the midpoint of segment AB given. A (-3, 2) and B (3, -2)

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-3,\ 2)\ \text{and}\ B(3,\ -2).\ \text{Substitute:}\\\\x=\dfrac{-3+3}{2}=\dfrac{0}{2}=0\\\\y=\dfrac{2+(-2)}{2}=\dfrac{0}{2}=0\\\\Answer:\ \boxed{(0,\ 0)}

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Mike is twice as old as his sister. Together, their ages add up to 30. How old are Mike and his sister?
givi [52]

Answer:

The sister is 10 and Mike is 20

Step-by-step explanation:

10 x 2 = 20

10 +20 = 30

6 0
2 years ago
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What is the measure of angle A in the triangle below?<br> •30°<br> •45°<br> •60°<br> •90°
goldfiish [28.3K]

Answer:

38.1

Step-by-step explanation:

3 0
3 years ago
In physics, Boyle’s law states that if the temperature is constant, then the pressure, P, of a gas is inversely proportional to
VMariaS [17]

The constant of proportionality for this situation is 425

Step-by-step explanation:

When a quantity is inversely proportional with another quantity, then

the product of the two quantities is constant

1. If y is inversely proportional with x

2. Then y ∝ \frac{1}{x}

3. that mean y = \frac{k}{x} where k is the constant of variation

4. Then xy = k

∵ In physics, Boyle’s law states that if the temperature is constant

∵ The pressure, P, of a gas is inversely proportional to the volume,

   V, of the gas

∴ P ∝ \frac{1}{V}

∴ P = \frac{k}{V}

∵ The pressure of the gas in a cylinder is equal to 250 kilo pascals

∵ The volume of the container is 1.7 cubic meters

- Substitute these values in the rule of variation to find k

∴ 250 = \frac{k}{1.7}

- Multiply both sides by 1.7

∴ k = 425

The constant of proportionality for this situation is 425

Learn more:

You can learn more about proportion in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
Which of the following represents the opposite of - 547
erastovalidia [21]
$54 towe my friend degrees
7 0
4 years ago
Ed Moura has $32000 invested in stocks paying 6% .how much additional money should he invest in certificates of deposit paying 3
inna [77]

Answer:

Ed Moura invest $64000 in certificates of deposit paying 3%

Step-by-step explanation:

Ed Moura has $32000 invested in stocks paying 6%.  

Additional money in certificates of deposit paying 3% =x  

so that the average return on the two investments is 4%.  

32000*6% +3%*x = 4%(32000+x)

32000*0.06 +0.03*x = 0.04(32000+ x)

1920 + 0.03x = 1280 +0 .04x

1920 - 1280 = 0.04x - 0.03x

0.01x = 640

x = 64000

x = $64000

x= $64000 in certificates of deposit paying 3%

Thank you.

4 0
4 years ago
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