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3 years ago

What is the midpoint of segment AB?

Mathematics

1 answer:

mr Goodwill [35]3 years ago

5 0

Answer:

(-1, -3.5)

Step-by-step explanation:

Use the midpoint formula by finding the points of A and B.

A = (-5, -4)

B = (3, -3)

Add the x-values of both coordinates to get the following:

$3_{1} + -5_{2} = -2\\-2/2 = -1$

Midpoint = (-1, y)

Now we find the y-value by doing the same as we did to the x-coordinates of A and B.

$-3_{1} + -4_{2} = -7\\-7/2 = -3.5$

Midpoint = (-1, -3.5)

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Suppose I pick a jelly bean at random from a box containing two red and ten blue ones. I record the color and put the jelly bean

Lubov Fominskaja [6]

Answer:

The probability of getting a red jelly bean both of the times is 0.028.

Step-by-step explanation:

First we have that in the box are 12 jelly beans having 2 red and 10 blue. The probability of getting one of the red jelly beans are the sum of the probability of the 2 red jelly beans, that is:

$ProbabilityRed=\frac{1}{12} +\frac{1}{12}=\frac{2}{12}$

Now we can calculate the probability of getting the red jelly bean twice, this will be the product of the probability of getting each one, is the same probability for the second chance because we are getting the jelly bean back in the box, this is:

$ProbabilityBothRed=\frac{2}{12} *\frac{2}{12}=\frac{4}{144} =\frac{1}{36} =0.028$

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4 years ago

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wlad13 [49]

Answer:

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Step-by-step explanatio

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3 years ago

M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.

raketka [301]

Answer:

LM = 1.5

LN = 3

Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

LN= 2x + 2

x = 0.5

LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

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Answer:

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Step-by-step explanation:

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