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3 years ago

12

A linear equation determines a line in the xy-plane. A. True B. False

2 answers:

vagabundo [1.1K]3 years ago

7 0

Answer:

true

Step-by-step explanation:

Artemon [7]3 years ago

4 0

Answer:

True, A linear equation determines a line in the xy-plane.

Step-by-step explanation:

A linear equation is in the form of Px + Qy = R where P , Q and R are constants.

Let us take an example 2x +3y = 6

When we plot the above equation in graph we get a line in xy plane.(as shown below) Since, there are two variables, x and y, then will it be possible, only on the xy plane.

It is also clear from the graph that linear equation shows the relation between x and y axis. Thus, it is true to say a linear equation determines a line in the xy-plane.

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

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3 years ago

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ExtremeBDS [4]

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Step-by-step explanation:

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swat32

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

1/5x-2/3y=30 when y=15

dolphi86 [110]

Answer:

Step-by-step explanation:

<u>Step 1: Set y to 15 and solve</u>

<u /> $\frac{1}{5}x - \frac{2}{3}*15=30$

$\frac{1}{5}x-10=30$

<em>Add 10 to both sides</em>

<em /> $\frac{1}{5}x-10+10=30+10$

$\frac{1}{5}x=40$

<em>Multiply both sides by 5</em>

<em /> $\frac{1}{5}x*\frac{5}{1}=40*\frac{5}{1}$

$x=200$

Answer: $x=200$

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3 years ago

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xenn [34]

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