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Andrew [12]
3 years ago
10

Segment AB has endpoints A(–4, 6) and B(1, 4). After a dilation, centered at the origin, the image of A is (–6, 9). Without meas

uring the distance, explain how you could find the image of B
Mathematics
2 answers:
Ksivusya [100]3 years ago
4 0
With A and its image one can get the dilation factor;
That is dilation scale factor = -6/-4 or 9/6 = 3/2
Therefore, to get the image of B we multiply the coordinates of B by the dilation factor; 
(1,4) 3/2 = (1.5, 6)
Thus the image of B = (1.5,6)
-BARSIC- [3]3 years ago
4 0

Answer:

To find the image of B, first find the scale factor for the dilation. The scale factor should be greater than 1 because the image of A is farther from the origin than A. Divide the coordinates of the image of A by the coordinates of A: –6/–4 = 3/2 and 9/6 = 3/2, so the scale factor is 3/2. Now, apply the dilation to B by multiplying the coordinates by 3/2 to get ((3/2)(1), (3/2)(4)), or (3/2, 6).

Step-by-step explanation:

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8 0
3 years ago
Lee has $220 to spend on shirts at $22 each and pants $38 each. what inequality represents the possible number of shirts and pan
Viefleur [7K]

The inequality that models the given situation is:

y*$22 + x*$38 ≤ $220

And some solutions are (1, 1), (1, 2), (2, 2).

<h3>Which inequality models the given situation?</h3>

To find the inequality, we first need to define the variables that we will use, the variables are:

  • x = number of pants bought.
  • y = number of shirts bought.

Knowing the price of each individual item, the total cost will be given by:

C = y*$22 + x*$38

And Lee has $220 to spend, so the maximum amount that he can spend is $220, then we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions you just need to find some values of x and y that make the inequality true, for example, one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

This is true, so (1, 1) is a solution.

Another solutions are (2, 2), (1, 2), (0, 3), etc.

If you want to learn more about inequalities you can read:

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6 0
2 years ago
-4x-8&gt;-20
Art [367]
-4x - 8 > -20
Add 8 to both sides
- 4x > -12
Divide both sides by -4
**When you divide by a negative you must change the direction of the inequality sign**
x < 3
Letter C
5 0
3 years ago
Read 2 more answers
Which of the following are corresponding angles ?
ANEK [815]

The answer is - C. R & W

4 0
3 years ago
3/8 + n = 7/8.<br> Pls help
ELEN [110]
Answer: N= 4/8
3/8+4/8= 7/8
3 0
3 years ago
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