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3 years ago

What's the distance of (-2, 0), (3, -5) plz help thank you

Mathematics

2 answers:

Brrunno [24]3 years ago

8 0

Answer:

The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2}a

where cc is the longest side of a right triangle (also known as the hypotenuse) and aa and bb are the other shorter sides (known as the legs of a right triangle).

The very essence of the Distance Formula is to calculate the length of the hypotenuse of the right triangle which is represented by the letter cc.

a green right triangle with hypotenuse c (distance between two red dots) and legs a and b.

That’s why we can claim that the idea of the Distance Formula is borrowed and derived from the Pythagorean Theorem. If you want to see how the Distance Formula is derived from the Pythagorean Theorem, please check out my lesson on How to Derive the Distance Formula.

Ber [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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3 years ago

Although you love to watch TV, you have made a goal to spend more time outdoors. You decide that you will spend 2 times as many

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3 years ago

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An apple is cut into 6 equal slices. Nancy eats 2 of the slices. What fraction of the apple is left?

Ede4ka [16]

Answer:

Fraction of apple pieces left = 4/6 = 2/3

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Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro

astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 96, \sigma = 15.7$

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{123.4 - 96}{15.7}$

$Z = 1.745$

$Z = 1.745$ has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

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3 years ago

What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3

Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

Step-by-step explanation:

f(x) = 3ˣ - 3 This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.

Range: y > 3 (-3, ∞)

g(x) = 7x² - 3

⇒ g(x) = 7(x - 0)² - 3 This is a parabola with vertex at (0, -3)

Range: y ≥ 3 [-3, ∞)

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