Describe the transformation. (picture included)

Mathematics

2 answers:

Nata [24]3 years ago

5 0

<h2>reflection across the x axis so answer <em>C</em></h2>

snow_lady [41]3 years ago

3 0

Hi! The correct answer is D because the shapes moved to a different quadrant across the x-axis.
It didn’t move down 2 units or get reflected across the y-axis, thus making D the only reasonable answer.
I hope I helped!

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Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R

MrRa [10]

Question 1. Midpoint

Answer: M(-2,4)

Explanation:

1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:

x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2

2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:

x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4

So, the answer is M (-2,4)

Question 2: The distance between the two midpoints is:

Answer: 7.21

Explanation:

1) Use the formula of distance, which is an application of Pythagora's theorem:

d² = (x₂ - x₁)² + (y₂ - y₁)²

2) Substitute values:

d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21

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Vinil7 [7]

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Answer:

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Step-by-step explanation: