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3 years ago

Choose a number line to model the following situation: After walking 5 steps forward, Julie walked 5 steps backward

Mathematics

2 answers:

masha68 [24]3 years ago

5 0

The number line should look something like this.

|______|______|

-5 0 5

|---------->

<----------

makvit [3.9K]3 years ago

4 0

Answer:

Let the person is at point O that is at Origin(0).

5 Steps Forward in terms of Integers = +5

5 steps backward in terms of Integers = -5

These two numbers are inverses of each other.So, Addition of these numbers yield Zero.

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Determine if the equations are parallel, perpendicular, or neither

Gala2k [10]

Answer: Perpendicular.

Step-by-step explanation:

If you multiply the slopes together you will get -1:

$3 * -\frac{1}{3} = -1$

Parallel means they have the same slope, so that is easily ruled out here.

5 0

3 years ago

Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

8 0

3 years ago

Is 1.75 greater than 5.50

lord [1]

Answer:

Step-by-step explanation:

1.75 < 5.50

6 0

4 years ago

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PSYCHO15rus [73]