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ivann1987 [24]
3 years ago
14

A dilation has center (0, 0). Find the image of each point for the given scale factor. C(3, -6); D(5/3) (C)

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer: C. (5, -10)

Step-by-step explanation:

When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.

The new point will be:

(A*x, A*y)

in this case, the point is (3, -6) and the scale factor is (5/3)

Then the new point will be:

(3*(5/3), -6*(5/3)) = (5, -10)

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Find the mass of an object that has a weight of 910kg
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Answer:

The correct answer is 20 kg.

Given, Weight (w) = 910 N , g = 10 ms-2

So, mass (m) = (w / g) = 91kg

Important Points

Mass is a measure of the amount of matter in an object.

Mass is always constant.Weight is the force of gravity on an object.

Weight depends on the gravitational force of attraction.

Weight (w) = Mass (m) * Gravitational acceleration (g).

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4 0
3 years ago
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2x+1is one angle and x-7 is another. When these two angles are complementary angles what is x?
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Complementary angles are two angles whose measures add to a sum of 90 degrees. This can be expressed as the following formula:

A1 + A2 = 90

Substitute any known values into the equation above:

(2x + 1) + (x – 7) = 90
2x + 1 + x – 7 = 90

Combine like terms:

3x – 6 = 90

Add 6 to both sides of the equation:

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Divide 3 from both sides of the equation:

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When (2x + 1) and (x – 7) are complementary, “x” is equal to 32.

I hope this helps!
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4 years ago
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If the basalt at the top of the ancient valley below Vulcan's Throne yields a radiometric date (K-Ar) of 15,000 years, and the l
zepelin [54]

Answer:

1.69\times 10^3feet/million year

Step-by-step explanation:

We are given that

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Elevation of bottom of basalt in valley =2100 feet

Age of top of basalt in valley=15000 years

Age of bottom of basalt in valley=1.2 million years=1.2\times 10^6 years=1200000 years

We have to find the rate of basalt filling in the valley in feet per million yeas

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Rate of basalt filling in the valley=\frac{4100-2100}{1200000-15000}=\frac{2000}{1185000}=1.69\times 10^{-3} feet/year

Rate of basalt filling in the valley=1.69\times 10^{-3}\times 10^{6}=1.69\times 10^3feet/million year

6 0
4 years ago
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