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PSYCHO15rus [73]
3 years ago
12

Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle

could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
Mathematics
1 answer:
myrzilka [38]3 years ago
8 0
The farthest distance of the turtle can be solved with the following equations:

x = 112 + 4
x = 112 - 4

By solving the equations, we conclude that t<span>he turtle can be found either in the 116th block or the 108th block.</span>
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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
Simplify the expression. 1/3r + 1/4 + 2/3r + 3/4​
expeople1 [14]

Answer:

r+1

Step-by-step explanation:

4 0
3 years ago
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You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The needle of you
abruzzese [7]
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8 0
4 years ago
Simplify: -6( 5 /3 x + 4)
yaroslaw [1]

Answer:

-10x-24

Step-by-step explanation:

-6(\frac{5}{3}x+4)

-6*\frac{5}{3}x+-6*4

-10x-24

8 0
3 years ago
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PLS HELP ASAP I NEED THIS
crimeas [40]

Answer:

D

Step-by-step explanation:

Firstly let's see definition of Rational numbers ,

<u>Rational</u><u> numbers</u><u> </u><u>:</u><u>-</u><u> </u>

  • The number in the form of p/ q where p and q are integers and q is not equal to zero is called a Rational number .

From the options , look at option D ,its

→ √400

→ √{20²}

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<h3>Hence option D is correct.</h3>
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