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igor_vitrenko [27]
3 years ago
9

Paula is located at a position of −12 feet relative to the ground. Which statement shows the distance she is from ground level?

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

The absolute value of a number is the distance from point to the origin. Since Paula is located at a position of −12 feet relative to the ground, then the distance from point -12 on the number line to the origin is 12 (distance cannot be negative).

Thus, |-12|=12 and Paula is at a distance of 12 feet.

Answer: correct choice is C

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40.6944 is your answer

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It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inc
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 <span>Length of outer track = sum of length of 10 pieces = circumference of the outer circle 


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length of each outer piece is 3.4 inch more than length of inner piece 

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Answer:

PQ = 5 units

QR = 8 units

Step-by-step explanation:

Given

P(-3, 3)

Q(2, 3)

R(2, -5)

To determine

The length of the segment PQ

The length of the segment QR

Determining the length of the segment PQ

From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.

so

P(-3, 3), Q(2, 3)

PQ = 2 - (-3)

PQ = 2+3

PQ = 5 units

Therefore, the length of the segment PQ = 5 units

Determining the length of the segment QR

Q(2, 3), R(2, -5)

(x₁, y₁) = (2, 3)

(x₂, y₂) = (2, -5)

The length between the segment QR is:

l=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

  =\sqrt{\left(2-2\right)^2+\left(-5-3\right)^2}

  =\sqrt{0+8^2}

  =\sqrt{8^2}

Apply radical rule: \sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

  =8

Therefore, the length between the segment QR is: 8 units

Summary:

PQ = 5 units

QR = 8 units

8 0
2 years ago
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