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3 years ago

Find X and Y please explain

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

In this diagram we see that 80 and 3x+4y are both vertical angles and vertical angles are congruent or always equal so we can set those two equations equal to each other then we can see that a line splits two angles making them supplementary (they equal 180 degrees) So we can have another equation, the two equations are:

3x+4y=80 and 3x+4y+7x-8y=180 (add like terms to simplify and get 10x-4y=180

Then use elimination to get rid of the y variables

10x-4y=180 (plus)

+3x+4y=80 (the negative 4 and positive 4 cancels each other out so you are left with:)

13x=160 (divide by x)

x=12.30769 which can be rounded to x=12.31

Then we have to plug in x into the first equation:

3(12.31) + 4y = 80

36.93 + 4y = 80 (subtract 36.93 from 80)

4y = 43.07 (divide)

y=10.7675 or rounded to 10.77

so x=12.31 and y=10.77

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siniylev [52]

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Step-by-step explanation:

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2 years ago

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4 years ago

Read 2 more answers

2. Determine if either of the following equations are functions? Draw the graphs and explain how

nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

$y=-\dfrac{3}{5}x+2$

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function $y=-\dfrac{3}{5}x+2$ with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

$y=x-x^2$

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function $y=x-x^2$ with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.

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3 years ago

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tekilochka [14]

y = sqrt(x) .... parent function

y = sqrt(x+2) .... replace x with x+2 to shift 2 units to the left

y = sqrt(x+2)+3 ... add on 3 to move 3 units up

y = sqrt(-x+2)+3 ... replace x with -x to reflect over y axis

<h3>Answer: y = sqrt(-x+2)+3</h3>

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3 years ago

Y is six more than x divided by three <br><br> turn it into an expression (y=mx+b format)

Snowcat [4.5K]

We always start from right side in order of operation in any equation

we can set up equation as

step-1:

x divided by three

we can write as

$=\frac{x}{3}$

step-2:

six more than x divided by three

so, we get

$=\frac{x}{3}+6$

step-3:

y is six more than x divided by three

so, we get

$y=\frac{x}{3}+6$

and this is in y=mx+b form

so, we have

$y=\frac{x}{3}+6$ ...............Answer

4 0

3 years ago