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3 years ago

Use the equation below to identify the value fo each variable for the circle.

Mathematics

1 answer:

natita [175]3 years ago

7 0

Answer:

The equation of the circle in standard form is: (x - 2)² + (y - 4)² = 9

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- If the center of the circle is point (h , v) and the radius of the

circle is r, then the standard form of the equation of the circle

is (x - h)² + (y - v)² = r²

- (x , y) a general point on the circle

* Lets look to the picture

- The center of the circle is point (2 , 4)

- The highest point on the circle is (2 , 7) and the lowest point

on the circle is (2 , 1)

∴ The diameter of the circle = 7 - 1 = 6

∵ The radius = 1/2 the diameter

∴ The radius of the circle = 1/2 × 6 = 3

* Now we can write the equation of the circle

∵ h = 2 and v = 4

∵ r = 3

∴ (x - 2)² + (y - 4)² = 3²

∴ The equation of the circle in standard form is:

(x - 2)² + (y - 4)² = 9

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soldi70 [24.7K]

Answer:

9,000

Step-by-step explanation

You pay one 4th of your money on taxes. 36000/4 is 9,000.

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2 years ago

Can someone put a website to help me understand this?

Alenkinab [10]

Answer:

Step-by-step explanation:

Since the diagonals in a rectangle are congruent, AC=BD and

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We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in

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Next, add 3 to both sides to get

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Divide both sides by 3 to get

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Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67

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2 years ago

Carlos earns $11 per hour at his job. Let x represent the number of hours he worked in May. Let y represent the number of hours

Firlakuza [10]

11x+11y

11(x+y)

Explanation

Step 1

Let

Carlos earns == 11 per hour

x represents the number of hours he worked in May

the,

the amount he earned in Mayis

$11\cdot x=11x$

y represent the number of hours he worked in June.

the amount he earned in June was

$11\cdot y=11y$

Step 2

the amount of money he earned is May and June is the sum of the values

$\begin{gathered} \text{total}= \\ 11x+11y \\ \text{if we factorize 11} \\ 11(x+y) \end{gathered}$

I hope this helps you

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10 months ago

AABC has vertices at A(1, -9), B(8,0), and C(9,-8).

Rainbow [258]

Check the picture below.

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{0}) ~\hfill AB=\sqrt{[ 8- 1]^2 + [ 0- (-9)]^2} \\\\\\ AB=\sqrt{7^2+(0+9)^2}\implies AB=\sqrt{7^2+9^2}\implies \boxed{AB=\sqrt{130}} \\\\[-0.35em] ~\dotfill$

$B(\stackrel{x_1}{8}~,~\stackrel{y_1}{0})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{[ 9- 8]^2 + [ -8- 0]^2} \\\\\\ BC=\sqrt{1^2+(-8)^2}\implies \boxed{BC=\sqrt{65}}$

now, we could check for the CA distance, however, we already know that AB ≠ BC, so there's no need.

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2 years ago

What is the graph of y=arctan(x)

irina1246 [14]

Answer:

The answer is A on edg2020

Step-by-step explanation:

It is the first graph. Hope this helps! #classof2020

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3 years ago

Read 2 more answers