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Elden [556K]
3 years ago
6

(X-2)²+(y-1)²=25 how do you do this problem?

Mathematics
1 answer:
Tasya [4]3 years ago
5 0
(x-x_c)^2+(y-y_c)^2=r^2\\
(x_c,y_c) - \text{center}\\\\
(x-2)^2+(y-1)^2=25\\
\text{center}=(2,1)\\
r=\sqrt{25}=5
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A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
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Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
Based on information presented in the passage, which
Alborosie

According to the statement "Based on information presented in the passage, which best describes what Georgia was "tired of " (line 8)"

Being teased about Joseph Tank

The correct option is B.

<h3>Explanation:</h3>

According to this passage, Georgia was weary of being made fun of because of Joseph Tank, which was one of the main reasons she decided to wed him. We can infer from this that Georgia was generally fed up with being made fun of because of Joseph Tank.

<h3>What are comprehension passages?</h3>

Reading comprehension questions always have a high chance of being scored. A passage and some questions are given to us. Even if the information in the passage deviates from actual facts, it must be used to answer the questions.

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5 0
2 years ago
Find the area and perimeter of this shape.
denpristay [2]

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

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4 0
2 years ago
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Step-by-step explanation:

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3 0
2 years ago
A clock tower has a circular clock face with an area of 144pi square feet. What is the diameter of the clock face? Teacher wants
nekit [7.7K]

Answer:

d = 24

Step-by-step explanation:

The area of a circle is given by A = π * r²

We are told the area of the clock is 144π.

Let's clear the formula for the radius:

r² = A / π

r² = 144π / π

r² = 144

r = √144

r = 12

The diameter is two times the radius, d = 2r = 2*12 = 24.

5 0
3 years ago
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