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weqwewe [10]
3 years ago
14

Reflect each point in the x-axis and y-axis

Mathematics
2 answers:
Vilka [71]3 years ago
7 0

Step-by-step explanation:

1. x: (-12, -13) y: (12, 13)

2. x: (4 ,9) y: (-4, -9)

3. x: (-10, 8) y: (10, -8)

lana66690 [7]3 years ago
5 0

The person above is correct!
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50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squar
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Step-by-step explanation:

50a³b = 2⋅5²a³b

8ab = 2³ab

GCF = 2ab

50a³b - 8ab = 2ab(5²a² - 2²)

5²a² - 2² = (5a - 2)(5a + 2)

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Shaz is cleaning under the kitchen sink. He found five 2-liter bottles of glass cleaner. None of the bottles is full. The bottle
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4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface
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4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

\sf (\dfrac{3}{4})^2=\dfrac{S}{96}

Simplify the exponent:

\sf \dfrac{9}{16}=\dfrac{96}{S}

Cross multiply:

\sf 9S=1536

Divide 9 to both sides:

\sf S\approx 170.7~m^2

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

\sf (\dfrac{3}{4})^3=\dfrac{720}{V}

Simplify the exponent:

\sf \dfrac{27}{64}=\dfrac{720}{V}

Cross multiply:

\sf 27V=46080

Divide 64 to both sides:

\sf V\approx 1706.7~m^3

5.

A globe is a sphere, use the formula for the volume of a sphere:

\sf V=\dfrac{4}{3}\pi r^3

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

\sf V=\dfrac{4}{3}(3.14)(20)^3

Simplify the exponent:

\sf V=\dfrac{4}{3}(3.14)(8000)

Multiply:

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3 years ago
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A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the
notsponge [240]

Answer:

<u>The area of the rectangular field is 20,000 square meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

<u>Distance = 6 kilometers</u>

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

<u>Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters</u>

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

600 = 2 * 2x + 2 * x

600 = 4x + 2x

600 = 6x

<u>x = 600/6 = 100 meters ⇒ 2x = 200 meters</u>

Step C: Let's calculate the area of the rectangular field

Let's recall the formula of the area of a rectangle:

A = Length * Width

A = 200 * 100

<u>A = 20,000 m² (square meters)</u>

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3 years ago
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