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3 years ago

A dilation centered at the origin is applied to the line y = 3x + 5.

Mathematics

2 answers:

SOVA2 [1]3 years ago

8 0

Answer:

"The question cannot be answered without knowing the scale factor."

Step-by-step explanation:

The complete question:

A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?

It is the same line.
It is another line parallel to y = 3x + 5.
The image is not a line.
The question cannot be answered without knowing the scale factor.

A dilation, center at origin, with a scale factor of "k", will have a rule:

(x,y) = (kx,ky)

This basically means that the image after dilation will have the points kx and ky respectively.

If k ≠ 1, this means the image is parallel to the line y = 3x + 5

If k = 1, this means the image is same, it coincides with the line y = 3x + 5

Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.

Natalija [7]3 years ago

7 0

Answer:

"The question cannot be answered without knowing the scale factor."

Step-by-step explanation:

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What is the sum (Two-fifths x + StartFraction 5 over 8 EndFraction) + (one-fifth x minus one-fourth)?

liubo4ka [24]

The sum of ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) is $\frac{3}{5}$ x + $\frac{3}{8}$

Step-by-step explanation:

To add or subtract 2 fractions, they must have same denominators, if they not do that

Find the Lowest common multiple of the two denominators (LCM)
Replace each denominator by it
Divide The LCM by each denominator and multiply the numerator of each fraction by its quotient

∵ ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ )

- Let us start with adding the like terms

∴ ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) = (

∵ ( $\frac{2}{5}$ x + $\frac{1}{5}$ x ) have same denominators, then we can add them

∴ ( $\frac{2}{5}$ x + $\frac{1}{5}$ x ) = $\frac{3}{5}$ x

∵ ( $\frac{5}{8}$ - $\frac{1}{4}$ ) do not have the same denominators, then we must find

LCM of 8 and 4

- The LCM of 8 and 4 is 8 because 8 is the first common multiple

of 8 and 4

∵ LCM of 8 and 4 is 8

- Divide 8 by the denominator 4

∵ 8 ÷ 4 = 2

- Multiply the numerator of the fraction by 2

∴ $\frac{1}{4}=\frac{2}{8}$

∴ ( $\frac{5}{8}$ - $\frac{1}{4}$ ) = ( $\frac{5}{8}$ - $\frac{2}{8}$ ) = $\frac{3}{8}$

∴ ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) = $\frac{3}{5}$ x + $\frac{3}{8}$

The sum of ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) is $\frac{3}{5}$ x + $\frac{3}{8}$

Learn more:

You can learn more about the fractions in brainly.com/question/2456302

#LearnwithBrainly

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3 years ago

Read 2 more answers

Find the value of f(-1) for the function below

mrs_skeptik [129]

Put the value of x = -1 to the equation of a function f(x):

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3 years ago

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muminat

Answer:

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2 years ago

What is the approximate diameter of a sphere with a volume of 900 cm³? I will give Brainliest

jenyasd209 [6]

Answer:

Step-by-step explanation:

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2 years ago

This is very confusing to me, if anyone can help me I will most definitely give them the brainiest.

Marrrta [24]

Answer: figure 1 and 4

Step-by-step explanation: just multiple width times length and see if they give the same answer.

hoped this helped.

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3 years ago