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klio [65]
2 years ago
12

If k is a nonzero constant, what is the slope of the line containing the points (k,2k) and (3k,k)

Mathematics
1 answer:
ivolga24 [154]2 years ago
3 0

Answer:

The slope is -1/2

Step-by-step explanation:

m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}

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Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.
Sergeeva-Olga [200]

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

  • First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
  • First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points

Part D

Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.

8 0
3 years ago
What are factors of 27?
Artyom0805 [142]
The answer would be 3^33
6 0
3 years ago
Read 2 more answers
Which statement best explains whether △PQR is congruent to △XYZ?
ra1l [238]
<span>Two geometic shapes are congruent if one can be mapped to the other only by using rigid motions: translations and rigid rotations. The third statement is the only one that is true for any triangles â–łPQR and â–łXYZ, in whichever position they are.</span>
3 0
3 years ago
Fill in the blank with the correct response.<br><br> 11 ft = ____in.
Svetllana [295]

Answer:

132 inches

Step-by-step explanation:

We need to multiply both units together; there are 12 inches in a foot and 11 feet. Therefore:

11x12=132

132 inches

5 0
2 years ago
Read 2 more answers
(-10) - |(-20) – (+30) |
myrzilka [38]

ANSWER: -60

EXPLANATION: To solve for (-10) - |(-20) – (+30) |, we need to do:

−10−| −20 − 30|, which equals −10−|−50|. Next, we do −10−50, which is -60.

−10−|−20−30|

= −10−|−50|

= −10−50

= −60

6 0
2 years ago
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