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alex41 [277]
4 years ago
13

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is:

Mathematics
2 answers:
bulgar [2K]4 years ago
8 0
The center of the circle is the point (-4, 6).
The circle's radius is 5.
mixas84 [53]4 years ago
6 0
Center is (-4, 6)
radius is 5
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What measure of central tendency is most affected by outliers?.
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Answer: Mean

Mean is the only measure of central tendency that is always affected by an outlier.

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2 years ago
Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid
AfilCa [17]

The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

Learn more about the volume of rectangular prism on:

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5 0
2 years ago
Find the Domain and Range (show work)
alexdok [17]

see attached picture for solutions:


8 0
3 years ago
Read 2 more answers
You have a total of 45 dimes and quarters. You have 3 more quarters than dimes. Which system of equations can you use to find th
lina2011 [118]

Let's call dimes x and the quarters x+3 since we have 3 more of them.

x+x+3=45

2x=42

x=21

we have 21 dimes and 23 quarters

21*0.10=2.1

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5 0
4 years ago
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Consider the graph of the line y = .5x- 4 and the point
Katena32 [7]

Answer:

slope of parallel line and perpendicular line are 5 and -1/5 espectively

equation of parallel and perpendicular line are y = 5x + 22 y= \frac{-1}{5} x+\frac{6}{5} respectively

Step-by-step explanation:

y = 5x - 4 is in the form

y = mx + c

where m is the slope of the line and c is the y intercept of thr line

therefore slope of the line = 5 and y intercept = -4

when an another line is parallel to the given line then the slope of both the lines are equal

therefore the slope the parallel line = 5

equation of a line passing through a given point (x_{1} ,y_{1}) with slope m is given by y-y_{1} = m(x-x_{1} )

given (x_{1} ,y_{1})= (-4,2)

therefore equation of line y-2 = 5(x+4)

therefore y = 2+ 5x+20

y = 5x + 22is the eqaution of required line.

when two lines are perpendiculer then

m_{1} m_{2}=-1

where m_{1} and m_{2} are slope of the lines therefore

m×5=-1

therefore m= \frac{-1}{5}

therefore eqaution of line passing through (-4,2) and with slope m= \frac{-1}{5} is given by y - 2= \frac{-1}{5} (x+4)

y= \frac{-1}{5} x+\frac{6}{5}

3 0
3 years ago
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