Find the distance between the points (-9,0) and (2,5)

Mathematics

1 answer:

andreev551 [17]3 years ago

7 0

Answer:

sqrt(146)

Step-by-step explanation:

The distance between these two points can be the hypotenuse of our right triangle.

We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem

sqrt(5^2+11^2)=sqrt(146)

I attached a graph to help you visualize the triangle and how it works.

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According to a human modeling project, the distribution of foot lengths of women is approximately Normal with a mean of 23.4 ce

stiv31 [10]

Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling project, the distribution of foot lengths of women is approximately Normal with $\mu=23.3\ cm$ and $\sigma=1.3\ cm$ .

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or smaller :-

$P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%$

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3 years ago

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Ugo [173]

Answer:

The point slope form is $y-y_{1} =m(x-x_{1} )$

The slope(m) can be calculated using $\frac{y-y_{1} }{x-x_{1}}$ :

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Using Point One, the point-slope form is determined as:

$y-(-3)=3(x-4)\\y+3=3(x-4)$

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