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prisoha [69]
3 years ago
13

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth

point?
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

C = (2,-1)

Step-by-step explanation:

Given

A = (-5,-1)

B = (-5,3)

D = (2,3)

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

A = (x_1,y_1)

B = (x_1,y_2)

C = (x_2,y_1)

D = (x_2,y_2)

By comparing the general coordinates with the given coordinates, we have:

x_1 = -5 --- see A and B

y_1 = -1 --- see A and C

x_2 = 2 ---- see C and D

y_2 = 3 --- see B and D

So, we have:

C = (x_2,y_1)

C = (2,-1)

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I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!
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Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = \frac{1-4}{5-2}  = \frac{-3}{3} = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = \frac{0-8}{-7+7} = \frac{-8}{0}

Division by zero is undefined, thus slope is undefined.

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3 years ago
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri
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Answer:

P(|\bar{x}-40| > 0.6)=0.5404

Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = 7 dollars

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0.5404 is the required probability.

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