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3 years ago

The given line segment has a midpoint at (3, 1).

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Answer:c

Step-by-step explanation:

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Cameron, Arthur, and Jamie are playing soccer. Their locations are recorded by a motion tracking system. The grid shows distanc

Luden [163]

Answer:

1. Arthur is about 54 meters away from Cameron.

2. Jamie is about 56 meters away from Cameron.

3. Arthur is closer to Cameron.

Step-by-step explanation:

We have been given the locations of Cameron (70,10), Arthur (20,30) and Jamie (45,60) on the the grid in meters.

1. To find the distances of Arthur and Jamie from Cameron we will use distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

$\text{Distance between Cameron and Arthur}=\sqrt{(70-20)^{2}+(10-30)^{2}}$

$\text{Distance between Cameron and Arthur}=\sqrt{(50)^{2}+(-20)^{2}}$

$\text{Distance between Cameron and Arthur}=\sqrt{2500+400}$

$\text{Distance between Cameron and Arthur}=\sqrt{2900}$

$\text{Distance between Cameron and Arthur}=53.8516480713450403\approx 54$

Therefore, the distance Arthur is about 54 meters away from Cameron.

2. Let us find the distance between Cameron and Jamie.

$\text{Distance between Cameron and Jamie}=\sqrt{(70-45)^{2}+(10-60)^{2}}$

$\text{Distance between Cameron and Jamie}=\sqrt{(25)^{2}+(-50)^{2}}$

$\text{Distance between Cameron and Jamie}=\sqrt{625+2500}$

$\text{Distance between Cameron and Jamie}=\sqrt{3125}$

$\text{Distance between Cameron and Jamie}=55.9016994374947424\approx 56$

Therefore, Jamie is about 56 meters away from Cameron.

3. We can see that 56 is greater than 54, therefore, Arthur is closer to Cameron.

4 0

3 years ago

Read 2 more answers

Solve for a 7a + 2a + a − 9a = 20

Ira Lisetskai [31]

Answer:

a = 20

Step-by-step explanation:

7a + 2a + a − 9a = 20

Combine like terms

10a -9a = 20

a =20

7 0

3 years ago

Which one of the following examples represents a proper fraction?

meriva

D.
This is because:
8/8 rounds up to a whole number and 12/9 and 3/2 are improper fractions as the numerator (top number) is more than the denominator (bottom number)

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3 years ago

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The Statue of Liberty weighs about 2.04 x 105 kg. The Washington Monument weighs about 9.07 x 107 kg. About how many more kilogr

Misha Larkins [42]

Answer:

756.29

Step-by-step explanation:

2.04 x 105 = 214.2

and 9.07 x 107 = 970.49

970.49 - 214.2 = 756.29

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3 years ago

Simplify: 6x^-2 a) 1/6x^2 b) 6/x^2 c) x^2/6 d) 1/36x^2

Salsk061 [2.6K]

Answer:

The correct answer choice is option B. 6/x^2

Step-by-step explanation:

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3 years ago

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