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VARVARA [1.3K]
4 years ago
6

The system of equations graphed below has how many solutions ?

Mathematics
2 answers:
Aleks [24]4 years ago
6 0

Answer:

Option A. 0 solutions.

Step-by-step explanation:

The system of equations graphed has two equations.

y=-\frac{3}{2}x+5

and y=-\frac{3}{2}-3

Here equation 1 and 2 both have the same slope = -3/2

Therefore these lines are parallel.

Since parallel lines never meet at a point so the solutions of this systems of the equations will be zero.

Option A. 0 is the correct option.

amm18124 years ago
4 0
Their parallel so never
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Find the volume of the following solid. The solid between the cylinder ​f(x,y)equals=e Superscript negative xe−x and the region
PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy

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\int_{0}^{ln(6)}e^{-x}dx

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Now integrate this w.r.t. y:

\int_{-6}^{6}\frac{5}{6}dy = 10

So,

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10

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3 years ago
A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in
Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

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Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

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3 years ago
Help? I'm not sure I understand how to solve this.
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4 years ago
What is the equation of the line that contains the two points (0,-1) and (-1,-3)?
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