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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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3 years ago

Can someone give an explaination please

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Step-by-step explanation:

For the first inequality, just add 3 to both sides.

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What is the greatest common factor of 3x4, 15x3, and 21x??

luda_lava [24]

Answer:

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Step-by-step explanation:

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3 years ago

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The value of a car is $30,000 and depreciates at a rate of 6.5% each year.

navik [9.2K]

Answer:$20250

Step-by-step explanation:

6.5% of 30000

6.5/100 x 30000

(6.5 x 30000)/100

195000/100=1950

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Second year=28050-1950=26100

Third year=26100-1950=24150

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3 years ago

Can someone plz help me with this!

asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

$2x+y=10\\x-3y=-2$

To solve, start by isolating your first equation for y.

$2x+y=10\\y=-2x+10$

Now, plug this value of y into your second equation.

$x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4$

System #2: x=1

$x+2y=5\\2x+y=4$

Isolate your second equation for y.

$2x+y=4\\y=-2x+4$

Plug this value of y into your first equation.

$x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1$

System #3: x=6

$5x+y=33\\x=18-4y$

Isolate your first equation for y.

$5x+y=33\\y=-5x+33$

Plug this value of y into your second equation.

$x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6$

System #4: all real numbers (not included in your diagram)

$y=13-2x\\8x+4y=52$

Plug your value of y into your second equation.

$8x+4(13-2x)=52\\8x+52-8x=52\\0=0$

all real numbers are solutions

System #5: x=2

$x+3y=5\\6x-y=11$

Isolate your second equation for y.

$6x-y=11\\-y=-6x+11\\y=6x-11$

Plug in your value of y to your first equation.

$x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2$

System #6: no solution (not included in your diagram)

$2x+y=10\\-6x-3y=-2$

Isolate your first equation for y.

$2x+y=10\\y=-2x+10$

Plug your value of y into your second equation.

$-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2$

no solution

System #7: x=3

$y=10+x\\2x+3y=45$

Plug your value of y into your second equation.

$2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3$

3 0

3 years ago