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rosijanka [135]
3 years ago
14

The length of a rectangle is 3 inches more than its width, and its perimeter is 22 inches. Find the width of the rectangle.

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

A. 4 in.

Step-by-step explanation:

= 3 +

22 = 2 + 2[3 + ] ↷

22 = 2 + 6 + 2

22 = 6 + 4

- 6 -6

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

16 = 4

4 =

I am joyous to assist you anytime.

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Find an equation in standard form for the hyperbola with vertices at (0, ±3) and foci at (0, ±7)
Nitella [24]

The equation of a hyperbola is:

(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1

 

So what we have to do is to look for the values of the variables:

<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>

<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>

 

<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>

<span>b^2 =  49 – 9</span>

<span>b^2  = 40

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Therefore the equation of the hyperbola is:

<span>(x^2 / 9) – (y^2 / 40) = 1</span>

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3 years ago
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Factor the expression over the complex numbers. x2+36 Enter your answer in the box.
Zina [86]

hope this help Answer:( x - 3i√2)(x + 3i√2)

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Step-by-step explanation:

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change)  and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

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3 years ago
The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute devia
DochEvi [55]

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

<h3>What is mean absolute deviation?</h3>

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For this case, the table of mean and mean absolute deviation is given as:

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So, difference in their mean is 82 - 78 = 4

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Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Learn more about ratio here:

brainly.com/question/12106245

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Five times the sum of 173 and 32
Ipatiy [6.2K]
Hello!
173 + 32 = 205
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