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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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Answer:

D = 3\sqrt{2}

Step-by-step explanation:

Given

(x_1,y_1) = (3,-4)

(x_2,y_2) = (6,-7)

Required

Determine the distance between the two points

Distance (D) is calculated as:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute values for x's and y's

D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}

D = \sqrt{(6 - 3)^2 + (-7 +4)^2}

D = \sqrt{(3)^2 + (-3)^2}

D = \sqrt{9+9}

D = \sqrt{18}

Express as 9 * 2

D = \sqrt{9*2}

Split:

D = \sqrt{9}*\sqrt{2}

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2 years ago
A circle has a circumference of 153.86 units. What is the radius of the circle?
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katrin [286]

The solution to the system of equation graphed is (-1, -3)

<h3>Solution to system of equation</h3>

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

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Hence the solution to the system of equation graphed is (-1, -3)

Learn more on system of equation here: brainly.com/question/847634

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