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Lana71 [14]
3 years ago
10

How can you find this distance (-3,7),(0,4) in words

Mathematics
2 answers:
Bezzdna [24]3 years ago
6 0

Answer:

The distance between these two given points is:

3\sqrt{2}

Step-by-step explanation:

We are given two points:

(-3,7),(0,4)

<em>The distance between two points (a,b) and (c,d) is given by the distance formula as:</em>

<em>\sqrt{(c-a)^2+(d-b)^2</em>

similarly we can find the length of a line segment by considering the distance between the end points of the line segment.

So here (a,b)=(-3,7)

and (c,d)=(0,4).

Hence distance between these two points is given by:

\sqrt{(0-(-3))^2+(4-7)^2}=\sqrt{(3)^2+(-3)^2}=\sqrt{9+9}\\   \\=\sqrt{18} \\\\=3\sqrt{2}

svp [43]3 years ago
4 0

Answer:

3√2

Step-by-step explanation:

We have given two points and we have to find distance between them.

let (x₁,y₁) = (-3,7)   and (x₂,y₂) = (0,4)

d = ?

The formual to find the distence between two points is:

d = √(x₂-x₁)²+(y₂-y₁)²

Putting given values in above formula , we have

d = √(0-(-3))²+(4-7)²

d = √(3)²+(-3)²

d = √9+9

d = √18

d =√2×9

d = 3√2

The distnce between given two points is 3√2.

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You discover that you are over serving a dish because customers keep taking a third of it home. If the dish requires 4 ingredien
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Answer:

4 parts

Step-by-step explanation:

If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3

To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:

12 * 1/3 = 12/3 = 4

You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.

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Answer:

y =  \frac{2}{7} x

Step-by-step explanation:

The slope is

slope =  \frac{rise}{run}  =  \frac{2}{7}

The y-intercept is 0

5 0
2 years ago
Factor completley x2-4x-12
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Step-by-step explanation:

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which of the circle diagrams below represnts the statement "if it is a square, then it is a quadrilateral
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Step-by-step explanation:

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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
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