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4 years ago

Which expression is equivalent to the distance between -13 and -4 on a number line select all that apply

Mathematics

1 answer:

kaheart [24]4 years ago

5 0

For this case we have:

We locate the given points on the negative axis of the x coordinate

We shadow the region between both points

The shaded region will be the difference or distance between both numbers.

Algebraically, the difference is given by:

$| -13 - (- 4) | = | -9 | = 9\\$

Answer:

$Distance = 9\\$

See attached image

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Arlecino [84]

We'll use the notation $\textrm{Arcsin } x$ for the principal value and $\arcsin x$ for all the values:

$\arcsin x = \textrm{Arcsin } x + 2\pi k \textrm{ or } (\pi - \textrm{Arcsin }x) + 2\pi k \quad \textrm{ integer } k$

Part I

$\sin(\theta/2) = \frac 1 2$

$\theta/2 = \arcsin \frac 1 2$

Part II. In our range we can write

$\sin(\theta/2) = \sin(\frac \pi 6)$

$\theta/2 = \frac \pi 6 \textrm{ or } \theta /2 = \pi - \frac \pi 6 = \frac{5\pi}{6}$

Part III.

$\theta = \frac \pi 3 \textrm{ or } \theta = \frac{5\pi}{3}$

Part IV.

$\theta/2 = \frac \pi 6 + 2\pi k \textrm{ or } \theta = \frac{5 \pi}{6} + 2\pi k \quad \textrm{integer } k$

$\theta = \frac \pi 3 + 4 \pi k \textrm{ or } \theta = \frac{5 \pi}{3} + 4\pi k \quad \textrm{integer } k$

5 0

3 years ago

Stuck in it from a week!!<br> Help please.

nadya68 [22]

The answer is 49 because x = 1/7 and 1/7^-2 =49

5 0

4 years ago

Which scale factors results in an enlargement of an image along an opposite ray?

lana [24]

I don't know if its right but i think its dialation

8 0

4 years ago

Solve for x. Round to the nearest tenth, if necessary.

faust18 [17]

Answer:

44.4

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin40=x/69

x=69sin40

x=44.4 rounded from 44.352

5 0

3 years ago

Help pls!!!!!!!!!!!!!!

kvasek [131]

Answer:

160 for each

Step-by-step explanation:

A normal distribution means that mean = median = mode. Furthermore, in a normal distribution, 68% of values are within 1 standard deviation of the mean, 95% of values are within 2 standard deviations, and 99.7% are within 3 standard deviation.

The mean is 150 and the standard deviation is 15. 165 and 135 1 standard deviation away from the mean, so 68% of values are between 135 and 165. This means that 32% of values are not between those values. A normal distributuion is symmetric, so 16% of values are greater than 1 standard distribution and 16% are less. Therefore, 16% of values (160) are less than 135 and 16% of values (160) are greater than 165

6 0

3 years ago