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3 years ago

What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?

Mathematics

2 answers:

Ronch [10]3 years ago

7 0

Answer:

The diameter of a circle with the equation is 16.

Step-by-step explanation:

Given the equation

$\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64$

We know that the circle equation with radius 'r', centered at (a, b)

$\left(x-a\right)^2+\left(y-b\right)^2=r^2$

$\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}$

$\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2$

Here,

radius = r = 8

center = (4, -6)

Hence, the radius of the circle is: r = 8

we know that

diameter = 2r

= 2(8)

= 16

Therefore, the diameter of a circle with the equation is 16.

Anarel [89]3 years ago

4 0

Answer:

They are correct. The answer is c. 16

Step-by-step explanation:

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In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

Bad White [126]

Answer:

2.7 in²

Step-by-step explanation:

Since ∆BAC and ∆EDF are similar, therefore, the ratio of their area = square of the ratio of their corresponding side lengths.

Thus, if area of ∆EDF = x, area of ∆BAC = 6 in², EF = 2 in, BC = 3 in, therefore:

$\frac{6}{x} = (\frac{3}{2})^2$

$\frac{6}{x} = (1.5)^2$

$\frac{6}{x} = 2.25$

$\frac{6}{x}*x = 2.25*x$

$6 = 2.25x$

$\frac{6}{2.25} = \frac{2.25x}{2.25}$

$2.67 = x$

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3 years ago

CAN SOMEONE PLEASE HELP WITH THIS QUESTION ILL GIVE 20 FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWER !!!

galben [10]

Answer:

Step-by-step explanation:

The overbar means the digit repeats indefinitely. The repeating decimal 0.333... is equivalent to 1/3, so this is the simple addition ...

3 2/3 + 2 1/3 = 5 3/3 = 6

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<em>Comment on the repeating decimal</em>

1/3 = 0.3333... repeating is one of the first decimal equivalents you learn.

If you're into repeating decimals. you may have learned how to convert them to fractions:

x = 0.3333... repeating . . . . . . . give a name to the value

10x = 3.3333... repeating . . . . . multiply by 10^p where p is the number of digits in the repeating pattern

10x - x = 3.3333... - 0.3333... = 3 . . . . . subtract: the repeating portions cancel

9x = 3 . . . . . . . . . .simplify

x = 3/9 = 1/3 . . . . .divide by the x-coefficient; simplify

4 0

3 years ago

Read 2 more answers

3² +4² = 5²,

AlekseyPX

Answer:

They are all true

Step-by-step explanation:

1. 3² +4² = 5²

3x3 + 4x4 = 5x5

9 + 16 = 25

25 = 25

-----------------------

2. 6² + 8² = 10²

36 + 64 = 100

100 = 100

------------------

3. 9² + 12² = 15²

81 + 144 = 225

225 = 225

-------------------

4. 5² +12² =13²

25 + 144 = 169

169 =169

-------------------

7 0

1 year ago

What is the standard form equation of an ellipse that has vertices (−2,14) and (−2,−12) and co-vertices (9,1) and (−13,1)?

Gennadij [26K]

Answer:

$\frac{(x+2)^2}{121} + \frac{(y-1)^2}{169} = 1$

Step-by-step explanation:

First, we identify that the vertices are vertical.
(an image below is attached if you want to see a visualization)
Therefore, the equation is such:

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1$

(h,k) is the center of the ellipse, which we could easily calculate by finding the midpoint between any pair of vertices.

This gets us (-2, 1)

Therefore, h = -2, k = 1

Now we want to find a,

we know the length of the major axis is 2a, and in this case, our length of the major axis is 26. So a = 13

Now we want to find b,

We know the length of the minor axis is 2b, and in this case, our length is 22, so b = 11

Now we will just plug in all the values and simplify to get our answer! B)

4 0

2 years ago

If the area of the circle below is 18 ft2, what is the area of the shaded sector?

Arlecino [84]

Depends what's shaded.

5 0

4 years ago