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AVprozaik [17]
3 years ago
7

What is the distance between the points (2,7) and (-8,1)

Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0

Step-by-step explanation:

Given points ( 2 , 7) and ( - 8 , 1 )

Distance between two points

\sqrt{(x2 - x1 )+( y2 - y1)}

\sqrt{(2  + 8) + (7 - 1)}

\sqrt{10 + 6}

\sqrt{16}

\sqrt {4}^{2}

Therefore distance between two points is 4 units.

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A piece of wood is divided into two pieces in the ratio of 2:5. One piece is 10 cm long so how long is the other piece?
klio [65]

Answer:

The length of the pother piece of the wood is 25 cm.

Step-by-step explanation:

Let the length of a piece of wood is x such that the ratio of two pieces is 2:5. Two pieces are 2x and 5 x

Length of the first piece is 10 cm. It means, 2x = 10 i.e. x = 5

We have considered that the length of other piece is 5x. It means 5×5 = 25 cm.

Hence, the length of the pother piece of the wood is 25 cm

8 0
3 years ago
Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 143 lbs and
seropon [69]

Answer:

Step-by-step explanation:

The null hypothesis is:

H0: μ(1995)=μ(2019)

The alternative hypothesis is:

H1: μ(1995)<μ(2019)

Because Roger wants to know if mean weight of 16-old males in 2019 is more than the mean weight of 16-old males in 1995 the test only uses one tail of the z-distribution.  It is not a  two-sided test because in that case the alternative hypothesis would be:  μ(1995)≠μ(2019).

To know the p-value, we use the z-statistic, in this case 1.89 and the significance level. Because the problem does not specify it, we will search for the p-value at a 5% significance level and at a 1%.

For a z of 1.89 and 5% significance level, the p-value is: 0.9744

For a z of 1.89 and 1% significance level, the p-value is: 0.9719

4 0
3 years ago
A table measures x+4 inches long and 5x+12 inches wide. What is the perimeter of the table?
tangare [24]

Answer:

P = 12x +32

Step-by-step explanation:

The perimeter is found by using the formula

P =2(l+w)

We know the length and the width

P = 2(x+4 + 5x+12)

Combine like terms

P = 2(6x+16)

Distribute

P = 12x +32

5 0
3 years ago
Taking SOL's will mark you brainliest!!!
Keith_Richards [23]

Answer:

it's A

Step-by-step explanation:

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4 0
3 years ago
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What is the area for this triangle
Llana [10]

Answer:

56

Step-by-step explanation:

I'm not 100% sure, use my answer at your own risk

4 0
3 years ago
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