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Juliette [100K]
3 years ago
10

A circle has center (5, –4) and radius 8. Which gives the equation for the circle

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

(x-5)^2 + (y+4)^2 =64

Step-by-step explanation:

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Given the system of equations, what is the x-coordinate of the solution?
Nimfa-mama [501]
Answer: Choice C) -11

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

Explanation:

The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x. 
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
6 0
3 years ago
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Which equation in slope-intercept form represents a line that is parallel to y=−4x−5 and passes through the point (0,0)?
IrinaK [193]

Answer:

\displaystyle y = -4x

Step-by-step explanation:

0 = 0 ± b

\displaystyle 0 = b \\ \\ y = -4x

* Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 remains the way it is.

I am joyous to assist you anytime.

6 0
3 years ago
11
drek231 [11]

Answer:

sub to graec franz

Step-by-step explanation:

6.72 4893,.43

7 0
3 years ago
What is The equation of a vertical line passing through the point (-5,-1)
mihalych1998 [28]
The equation of a vertical line passing through the point (-5,-1) is x = -5

3 0
3 years ago
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In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:
Anni [7]

The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

  1. Length of the <em>major</em> semiaxis (a).
  2. Length of the <em>minor</em> semiaxis (b).
  3. Distance between the foci and the center of the ellipse (c).

And there is the following relationship:

c = \sqrt{a^{2}-b^{2}} (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (e), which is defined by the following formula:

e = \frac{c}{a}, 0 \ge c \ge 1 (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. \blacksquare

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

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2 years ago
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