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trapecia [35]
3 years ago
10

A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s

position? Write your answer as a mixed number.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0
Change=new-original
change=32 and 1/4-20 and 5/6
32 and 1/4-20 and 5/6=
32+1/4-(20+5/6)=
32+1/4-20-5/6=
32-20+1/4-5/6=
1/4 and 5/6
LCD=12
1/4 times 3/3=3/12
5/6 times 2/2=10/12

32-10+3/12-10/12=
12-7/12=
11+12/12-7/12=
11+5/12
the turtle went down so the change is negative

the change is -11 and 5/12 inches
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<h2>Hello!</h2>

The answer is:

The last equation,

y+3=-6(x+9)

<h2>Why?</h2>

To find which of the given equations represents a line that passes through the point (-9,-3) and has a slope of -6, we need to find an equation that can be satisfied by evaluating the given point.

We can see that the only equation that can be satisfied evaluating the point (-9,-3) is the last equation:

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Evaluating the point, we have:

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Also, we can see that evaluating the point into the other equations, they will not be satisfied.

Let's prove that:

Evaluating:

First equation:

y-9=-6(x-3)\\-3-9=-6*(-9-3)\\-12=-6*(-12)=72

The equation is not satisfied.

Second equation:

y+9=-6(x+3)\\-3+9=-6*(-9+3)\\6=-6*(-6)=36

The equation is not satisfied.

Third equation:

y-3=-6(x-9)

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The equation is not satisfied.

Hence, the correct option is the last option, the equation that represents a line that passes through (–9, –3) and has a slope of –6 is the last equation:

y+3=-6(x+9)

Have a nice day!

Note: I have attached a picture for better understanding.

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