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zloy xaker [14]
3 years ago
7

7) What number is the opposite of -17?

Mathematics
2 answers:
Stells [14]3 years ago
8 0

Answer:

17

Step-by-step explanation:

the opposite of any negative number is the positive and vice versa

nadezda [96]3 years ago
3 0

Answer: +17

Step-by-step explanation: Here we are asked to determine the opposite of the following integer which is -17.

Think of the opposite of an integer in terms of a number line. The opposite of an integer is the same distance from zero as the original integer, but on the opposite side of zero.

Since -17 is 17 units to the left of zero, it's opposite will be 17 units to the right of zero. So the opposite of -17 is +17.

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Which expression is equivalent to 5(3 + 4k ) + 3(4 +k )?
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Find sin θ and cos θ if tan θ= 1/4 and sin 0&gt;0.
Serga [27]

Answer:

\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}

\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}

And that:

\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }

5 0
3 years ago
Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x
Yanka [14]

Answer:

Solution: The average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by  it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = .

It is given that the rate of change is .

Equate both equations.

Therefore, the average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

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