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Art [367]
2 years ago
6

Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordin

ates of Z of the pre-image? (–8, –4) (–8, 2) (–2, –1) (–0.25, –0.5)
Mathematics
2 answers:
yaroslaw [1]2 years ago
8 0

I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).

We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:

-2/0.25 , -1/0.25

(-8 , -4)



Nostrana [21]2 years ago
8 0

Answer:

(-8, -4)

I hope this helps!

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A gardener has a circular garden, which he divides into four quadrants. He has four different kinds of flowers, and he wants to
faltersainse [42]

Answer:

  • <u>84</u>

<u></u>

Explanation:

Call the quadrants I, II, III, and IV, counterclockwise, and the kinds of flowers A, B, C, and D.

Start by assigning a flower of kind A to quadrant I.

Then, quadrant II can have flower B, C, or D.

  • If it is B, then quadrant III can have either A, C, or D. If it is

If quadrant III has A, then quadrant IV can have either B, C, or D. That is 3 different gardens.

If quadrant III has C, then quadrant IV can have either B or D. That is 2 different gardens.

If quadrant III has D, then quadrant IV can either either B or C. That is 2 different gardens.

Those are all the possible different gardens if A is assigned to quadrant I and B is assigned to quadrant II: 3 + 2 + 2 = 7.

Working yet with A in quadrant I but assigning C to quadrant II, you can make the same reasoning as above to get other 7 gardens.

The same with A in quadrant I but D in quadrant II, other 7 different gardents.

In total, you find 7 × 3 = 21 different gardens when flowers of kind A are assingned to quadrant I.

Starting with a flower of kind B in quadrant I, there will be other 21 different gardens. The same for C and D. Then, in total, there are 4 × 21 = 84 different possible gardens.

6 0
2 years ago
Trish is having trouble understanding why she was not approved for her loan. Which of the following probably kept Trish from get
Natalka [10]
B. trish's credit score is a solid 525
6 0
2 years ago
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A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection
Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : p=0.35

Sample size : n= 500

Sample proportion : \hat{p}=\dfrac{156}{500}=0.312

Test statistic for population proportion :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0
2 years ago
Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 t
Ghella [55]

Answer:  The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation:  Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

<u>Case I :</u>  ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

P'(3\times 1.5, -4\times 1.5)=P'(4.5, -6),\\\\Q'(5\times 1.5, -1\times 1.5)=Q'(7.5, -1.5).

<u>Case II :</u>  ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

P''(4.5\times 2, -6\times 2)=P'(9, -12),\\\\Q'(7.5\times 2, -1.5\times 2)=Q'(15, -3).

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

<u></u>

4 0
2 years ago
Read 2 more answers
Apply the distributive property to factor out the greatest common factor. 12 + 20 =
guajiro [1.7K]

We can use prime factorization to find the GCF:

12 = 3^1 \cdot 4^1

20 = 4^1 \cdot 5^1


The greatest value both 12 and 20 share is 4. By factoring this out of the equation, we get:

4(3 + 5) = 4(8) = 32

6 0
2 years ago
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