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Dafna11 [192]
3 years ago
9

What is the equation of the plane that contains the triangle shown in the diagram?

Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0
The first equation

2x + 3y + 6z = 12
kolezko [41]3 years ago
3 0

Answer:

Option A is correct.

2x + 3y +z = 6

Step-by-step explanation:

The intercept form of the equation of plane is given by:

\frac{x}{l}+\frac{y}{m} +\frac{z}{n} =1            .....[1]

where

l is the intercept of x-axes

m is the intercept of y-axes and

n is the intercept of z-axes respectively;

From the given figure;

we have;

The intercepts of coordinates axes are;

l = 3

m = 2

n = 6

Substitute these values in the equation [1]; we have;

\frac{x}{3}+\frac{y}{2} +\frac{z}{6} =1  

Taking LCM of 3, 2 and 6 is 6

2x + 3y +z = 6

therefore, the equation of plane that contains the triangle as shown in the diagram is, 2x + 3y +z = 6

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2 years ago
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You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

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3 years ago
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