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3 years ago

Which must be true of a scale factor of a dilation if the image is smaller than the original figure?

Mathematics

1 answer:

butalik [34]3 years ago

6 0

Answer:

the scale factor k is between 0 and 1

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation with the larger image than initial figure is called an enlargement.

A dilation that the smaller image than initial figure is called a reduction.

If the scale factor k is greater than 1, the image is an enlargement
If the scale factor k is between 0 and 1, the image is a reduction
If the scale factor k = 1, the figure and the image are congruent

Thus, if the image is smaller than the original figure, then the scale factor k is between 0 and 1.

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Solve the equation for y (Y-3)^2=4y-12

Jet001 [13]

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3 years ago

Find the surface area of the ball shown to the right <br><br> d=20

netineya [11]

Answer:

<h3>Surface Area = 1,256 cm</h3>

<u>Solution:</u>

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Surface area = 4π · r²

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3 years ago

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ivolga24 [154]

Answer: 6

Step-by-step explanation: So there is 4 people and lets say I'm one of them, so I shake hands with 3 people, that's 3 handshakes, then one of those 3 people shake hands with the other 2, that's 5 handshakes, and then the last 2 shake hands with each other since they haven't, so that's 1 more which means 6 handshakes.

Sorry if this is wrong.

6 0

3 years ago

Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.

dusya [7]

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

(x + 6)² + (y - 9/2)² = 100

3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

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3 years ago

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The method of changing a degree to a radian is to multiply with 1/180

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4 years ago