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Anastasy [175]
3 years ago
12

Find the distance between the point (-2, 4) and the midpoint of the segment with endpoints (3, -5) and (-11, 1)

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Midpoint (m) = (x₁ + x₂)/2 , (y₁ + y₂)/2

                    = (3 - 11)/2, (-5 + 1)/2

                    = -8/2 , -4/2

                   = -4 , -2

distance (d) = √[(x₁ - x₂)² + (y₁ - y₂)²

                   =√ [(-4 - (-2))² + (-2 - 4)²

                   = √[(-2)² + (-6)²]

                  = √[4 + 36]

                  = √40

                  = 2√10

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gladu [14]

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1 year ago
Which sequence of transformations create a similar but not congruent triangle? A rotation and reflection B reflection and transl
viktelen [127]

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  D dilation and reflection

Step-by-step explanation:

Rotation, reflection, and translation are "rigid" transformations, so will always result in congruent figures.

Dilation is a transformation that changes size, so will result in figures that are similar, but not congruent. Any rigid transformation performed with dilation will still result in a similar figure.

7 0
3 years ago
What is the distance you are standing from the base of the tree?
alex41 [277]

Answer:

c = 12.5903 as it is more accurate

Step-by-step explanation:

tan65 = 27/d , value of tan65 is 2.1445

2.1445 = 27/d

d = 27/2.1445

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5 0
3 years ago
Find an ordered pair that satisfies both of the equations below.
liraira [26]

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This is the system of equations 2x - 3y = -5, 5x - 2y = 4. Multiply the first equation by 2 and the second equation by 3 to get 4x - 6y = -10, 15x - 6y = 12. Now we can use elimination: subtract the equations to get -11x = -22, so x = 2. 2x - 3y = 2(2) - 3y = 4 - 3y = -5, so 3y = 9 and y = 3. The solution is (2, 3).

i hope this helped! :D

4 0
3 years ago
Complete the equation: x^2 + 10x + _ = (_)^2
Korolek [52]

Answer:

(x + 5)²

Step-by-step explanation:

Given

x² + 10x

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Then

x² + 10x + 25 = (x + 5)²

6 0
3 years ago
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