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Nikitich [7]
3 years ago
7

Determine the equation of the circle graphed below .

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

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Simplify. Please show work
GuDViN [60]

Answer:

\frac{4b^5}{c^3}

Step-by-step explanation:

\frac{36b^4c^2}{9b^{-1}c^5}

\frac{36b^4c^2}{9b^{-1}c^5}\\\\\frac{4b^{4+1}}{c^{5-2}}\\\\\frac{4b^5}{c^3}

Hope this helps!

5 0
2 years ago
Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximatel
Ludmilka [50]

9514 1404 393

Answer:

  $6307.95

Step-by-step explanation:

The compound interest formula can help with that.

  A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.

  P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95

Momba needs to deposit $6307.95 today to have $8000 in 6 years.

8 0
2 years ago
Solve the two-step equation. -9x 0. 4 = 4 Which operation must be performed to move all the constants to the right side of the e
AlekseyPX

The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is  

The given equation is

In order to solve this we first move constants to the side opposite of the variable.

This is done by adding the opposite value of the constant to both sides.

Here  is the constant so we add  to both sides.

Now, we divide both sides by the coefficient of the variable.

The solution to the equation is

3 0
2 years ago
Now there is a door whose height is more than its width by 6 chi 8 cun. The distance between the [opposite] corners is 1 zhang.
Kaylis [27]

Answer:

  • height: 9 chi 6 cun
  • width: 2 chi 8 cun

Step-by-step explanation:

The factor-of-ten relationship between the different units means we can combine the numbers in decimal fashion. If 1 unit is 1 zhang, then 1 chi is 0.1 zhang and 1 cun is 0.01 zhang. Hence 6 chi 8 cun is 0.68 zhang.

Let x and y represent the width and height, respectively. In terms of zhang, we have ...

  y - x = 0.68

  x^2 +y^2 = 1^2

Substituting y = 0.68 +x into the second equation gives ...

  x^2 + (x +0.68)^2 = 1

  2x^2 +1.36x - 0.5376 = 0 . . . . . eliminate parentheses, subtract 1

Using the quadratic formula, we have ...

  x = (-1.36 ±√(1.36^2 -4(2)(-0.5376)))/(2·2) = (-1.36 ±√6.1504)/4

  x = 0.28 . . . . . the negative root is of no interest

  y = 0.28 +0.68 = 0.96

In units of chi and cun, the dimensions are ...

  height: 9 chi 6 cun

  width: 2 chi 8 cun

6 0
3 years ago
Read 2 more answers
Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?
Crazy boy [7]
Reflection that will produce an image with endpoints is y=-x
8 0
3 years ago
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