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Naily [24]
3 years ago
10

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi

ng that is 22 meters high with one of the radios and stands directly above the building’s entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter?
Mathematics
1 answer:
Strike441 [17]3 years ago
6 0
The range of communication is about 55 meters.
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Algebra help - asymptotes
motikmotik

Find where the equation is undefined ( when the denominator is equal to 0.

Since they say x = 5, replace x in the equation see which ones equal o:

5-5 = 0


So we know the denominator has to be (x-5), this now narrows it down to the first two answers.


To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.


In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)

so the degrees would be equal.

Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.


This makes the first choice the correct answer.

8 0
3 years ago
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec
lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

(x - 12)(3x - 12) = 7000

After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

3 0
1 year ago
What is the answer to<br> (-6x-6)+(8x-6)
Otrada [13]
(-6x-6)+(8x-6)
-6x-6+8x-6
2x-12

Hope this helps :)
8 0
3 years ago
What is the equation of the line that passes through the point (−7,2) and has a slope of −1
MAXImum [283]
The equation in slope intercept form is y=-x-5
7 0
3 years ago
“Solve each inequality and graph its solution. Show work.”
Cloud [144]

Answer:

p or p >6

Step-by-step explanation:

Given

|-5-p| > 11

Required

Solve and graph

|-5-p| > 11

Remove absolute bracket

-5 - p > 11 or -5- p

Solve for p

-p > 11 + 5 or -p < -11 + 5

-p > 16 or -p < -6

Divide by -1

p or p >6

<em>See attachment for plot</em>

3 0
3 years ago
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