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marysya [2.9K]
4 years ago
6

Y - 11 = 3(x-2) write an equation in slope intercept form

Mathematics
1 answer:
Alekssandra [29.7K]4 years ago
7 0
The answer is: Y = 3x+5
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3) The volume of the cone.<br> 15<br> 30
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Step-by-step explanation

<em>The volume of cone is  7068.58 ans</em>

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf
mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is \frac{2}{3}.

Step-by-step explanation:

The given equation of ellipse is

2x^2+xy+y^2=4

Differentiate both sides with respect to x.

\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)

\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)

4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0

(4x+y)+(x+2y)\frac{dy}{dx}=0

\frac{dy}{dx}=-\frac{4x+y}{x+2y}

Calculate the value of \frac{dy}{dx} at (1,-2).

\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}

\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}

\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}

Therefore the slope of tangent at point (1,-2) is \frac{2}{3}.

3 0
3 years ago
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State the domain and range of the following relation.
olga nikolaevna [1]

Answer:

Step-by-step explanation:

domain (ur x values) = -3,-1,1,2

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do not have to write them more then once

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3 years ago
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Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

================================================

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

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4 years ago
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Answer:

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Step-by-step explanation:

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