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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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3 years ago

Read 2 more answers

1) -7v + 4(2 - 5v) = -154

Bad White [126]

Answer:

v=6

Step-by-step explanation:

First let's simplify the equation so it will be easier to PEMDAS the equation later.

-7v+4(2-5v)=-154

-7v+8-20v=-154

-27v+8=-154

Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.

-27v+8=-154

-27v=-162

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5 0

3 years ago

X. Y

Dovator [93]

Answer:

Slope: 5

Y-intercept: 0

Equation: y=5x

Step-by-step explanation:

Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):

Rise = (25 - 5) = 20

Run = (5 - 1) = 4

The Rise/Run, or slope, m, is (20/4) or 5.

The equation becomes y = 5x + b.

To find b, the y-intercept, enter any of the points into the equation and solve for b:

y = 5x + b

y = 5x + b for (4,20)

20 = 5*(4) + b

b = 0

The line goes through the origin at x = 0 (0,0).

The equation is y = 5x + 0 or just y = 5x.

Slope: 5

Y-intercept: 0

Equation: y=5x

4 0

1 year ago