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Masja [62]
3 years ago
8

What is the radius of a circle if its center is (-3,-2) and one point on the circle is (5,-2)?

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The distance from the centre to a point on the circle is the radius.

Calculate radius r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, - 2)

r = \sqrt{(5+3)^2+(-2+2)^2}

  = \sqrt{8^2+0^2}

  = \sqrt{64} = 8 → A

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Hello, can somebody please help me with this word problem? Thanks.
erastovalidia [21]
We are given that this is an ideal gas, and that the volume and presumably the number of moles of gas are constant. We can use Gay-Lussac's Law, which describes volume and pressure. We have that pressure is directly proportional to volume. For a change in a gas, we can write the equation as 
\dfrac{P_i}{T_i} = \dfrac{P_f}{T_f},
where i denotes initial and f denotes final.

We have that T_i=600 \ K, T_f=800 \ K, and P_f=30 \ atm. We need to find P_i. To do so, let's first rearrange Gay-Lussac's equation to solve for P_i.

\dfrac{P_i}{T_i} = \dfrac{P_f}{T_f} \\\\P_iT_f=P_fT_i\\\\P_i= \dfrac{P_fT_i}{T_f}

Now, we plug in our values to get P_i.

P_i= \dfrac{P_fT_i}{T_f}=\dfrac{30\ atm \ 600 \ K}{800 \ K} = 22.5 \ atm.

This seems like a reasonable value, because as temperature goes up, pressure goes up, and an increase in temperature corresponds to an increase in pressure.

Technically, you were given values with only one significant figure, so you can only report the value as 20 \ atm, but this depends on how your instructor usually does these problems!

4 0
3 years ago
Robert owns three-eighths of a florist shop worth $76,000. What is the value of Robert’s share of the business?
vladimir2022 [97]

Answer:

It should be $28500

Step-by-step explanation:

76000 x 3/8 = 28500

value of shop:76000

robert owns:3/8

4 0
3 years ago
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(06.01)A scatter plot is made with the data shown:
UNO [17]

Answer

No association

Step-by-step explanation:

i took this test and it was right

6 0
3 years ago
If the first three Fibonacci numbers are given as <img src="https://tex.z-dn.net/?f=x_%7B1%7D%20%3D1" id="TexFormula1" title="x_
vazorg [7]

Answer:

n = 8

Step-by-step explanation:

Continuing the sequence using

x_{n} + x_{n+1}

x₄ = x₂ + x₃ =1 + 2 = 3

x₅ = x₃ + x₄ = 2 + 3 = 5

x₆ = x₄ + x₅ = 3 + 5 = 8

x₇ = x₅ + x₆ = 5 + 8 = 13

x₈ = x₆ + x₇ = 8 + 13 = 21

x₉ = x₇ + x₈ = 13 + 21 = 34

x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8

6 0
3 years ago
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Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In
Kisachek [45]
6 years if you add the years up and look at the ages
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