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Zielflug [23.3K]
3 years ago
9

Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,

4), K(4, 4), P(3, 2); k = 2
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Applying a dilation centered at the origin with scale factor k has the effect of multiplying both coordinates of a point by k:

(x,y)\mapsto (kx,ky)

So, in your case, the coordinates of the points double:

J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)

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Show work ASAP!! Please
zepelin [54]

9514 1404 393

Answer:

  a) x = -1, x = 4

  b) y = x^2 -3x -4

Step-by-step explanation:

a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.

The solutions are x=-1 and x=4.

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b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.

  y = a(x +1)(x -4)

For x=0, this is ...

  y = a(1)(-4) = -4a

The y-intercept is y = -4, so we have a=1.

The factored equation is ...

  y = (x +1)(x -4)

Multiplying this out gives the equation in standard form:

  y = x^2 -3x -4

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<em>Additional comment</em>

Your teacher may want the standard form equation to be ...

  x^2 -3x -4 = 0

This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.

8 0
3 years ago
Find the slope of a line parallel to x+y=14
Alex787 [66]

Answer:

Slope = -1

Step-by-step explanation:

x+y = 14

First convert the equation into slope-intercept form

y = -x+14

Parallel lines have the same slope, so its -1.

4 0
3 years ago
Mr. James has 53 paint brushes to share with 4 classes. Are there enough for each class to have the same amount? Are there any l
olga2289 [7]

Answer:

Mr. James can give each class 13 paint brushes and have one left over.

Step-by-step explanation:

Since he can't give a class a fraction of a paint brush, you don't divide any farther and get a remainder of 1. I attached a picture of the long division.

5 0
2 years ago
(2,0)<br> (-2,0)<br> (0,-2)<br> (0,2)
Rainbow [258]
(2,0)

the first # is the x coordinate which is left and right. Since B is 2 to the right from the center (0,0) x is 2. Left would make it negative
The second # is the y coordinate which is up and down. Since B is on the x axis the y coordinate is 0.


6 0
3 years ago
Is 3/25 equal to .12
blondinia [14]
It is 0.25 since you divide 3 by 25 since you can't simplify the it any more 
8 0
2 years ago
Read 2 more answers
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