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zimovet [89]
3 years ago
9

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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14+y = 3y+2, Find y with a step-by-step explanation.
mrs_skeptik [129]

Answer:

y= 6

Step-by-step explanation:

1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2

2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12

                                                     -14       -14

3. Subtract 3y from both sides: y=3y-12-> y-3y= -12

                                                -3y  -3y  

4. Combine like terms: y-3y= -12-> -2y= -12

                                      1-3 keep the y

5. Divide both sides by -2: -2y= -12-> y= 6

                                              /2    /2

6. So, you're left with y= 6

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Let's convert this fraction to an equal fraction which holds a denominator of 100, since it is a power of 10. 

Since the denominator can be multiplied by 5 to achieve 100, we can multiply the entire fraction by 5 to create an equivalent fraction that has a denominator of 100:
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To obtain a decimal from this fraction, take the numerator and move its decimal one place to the left for every 0 in the denominator. Since our denominator has two zeros, we will need to move the decimal place on the 85 two places to the left.

This gives us an answer of .85, which can also be expressed as 0.85.
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