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3 years ago

I need help please :( Don’t answer if you don’t know please.

Mathematics

2 answers:

Elodia [21]3 years ago

7 0

Answer:

slope is rise over run. so the slope would be 1/3.

notsponge [240]3 years ago

4 0

Answer: b is the answer

Step-by-step explanation:

The line goes up 1 over 3

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How many 3s are in 48?

Nitella [24]

To find the answer, all you need to do is divide 48 by 3. This shall get you the answer 16. This means that there are sixteen(16) 3s in 48.

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4 years ago

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If $\sqrt{5+n}=7$, then what is the value of $n$?

alina1380 [7]

Answer:

Step-by-step explanation:

We can solve the equation by simplifying it.

$\sqrt{5+n}=7$ , let's square both sides.

$5+n = 49$ . Now lets subtract 5 from both sides.

$n = 44$ .

Hope this helped!

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3 years ago

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klemol [59]

Answer:

Step-by-step explanation:

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3 years ago

360 kilometers is 24% of how many kilometers

gogolik [260]

You use the butterfly method:
360 24
___ ___
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multiply 360 by 100 to get 36000
then divide by 24 to get 1500

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4 years ago

The tangent to the circle x^2+y^2=18 is parallel to the tangent x+y=6

liubo4ka [24]

Answer:

y = -x - 6

Step-by-step explanation:

If we are looking for the equation of the line tangent to the circle, we have to find the first derivative of the circle function. If that tangent line is to be parallel to the given tangent line, we need to find the slope of the the given tangent line and make sure the slope of the line we are looking for is the same. First let's find the slope of the given tangent. If the given tangent is x+y=6, then to find the slope, solve for y:

y = -x + 6. So the slope of that line, and also the slope of the tangent we are solving for, is -1. Hold that thought while we find the derivative of the function. Using implicit differentiation, we find the derivative to be:

$2x+2y\frac{dy}{dx}=0$

Solving for the slope (dy/dx) gives us:

$2y\frac{dy}{dx}=-2x$ and

$\frac{dy}{dx}=\frac{-2x}{2y}$ so

$\frac{dy}{dx}=-\frac{x}{y}$

Subbing in the value of the slope we found:

$-1=-\frac{x}{y}$ so

-y = -x or, equivalently,

y = x. Now that we know that y and x are the same value, we can go back to the original circle to find out what they both are by substitution. If y = x, we make the substution:

If $x^2+y^2=18$ , then

$y^2+y^2=18$ and

$2y^2=18$ and

$y^2=9$ so

y = ±3

We will choose the negative root (you'll see why in a second) and sub that in for both y and x since y and x are th same number. Going back to the fact that the slope is -1:

y - (-3) = -1(x - (-3)) simplifies a bit to:

y + 3 = -x - 3 which gives us, in slope-intercept form:

y = -x - 6

That is the equation of the tangent to the circle that is parallel to the given tangent.

If we would have chosen the principle (or positive) root of 3, our equation would have looked like this:

y - 3 = -1(x - 3) and

y = -x + 3 + 3 so

y = -x + 6. Notice that that is the EXACT SAME EQUATION as the given tangent. That's why we have to pick the negative 3 as our root.

Good luck in your calculus class! Make sure you post your questions in here! Many of us LOVE the challenge of calculus!

3 0

3 years ago