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3 years ago

Find the values of x and y.

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

We have the isosceles triangle were y + 12 = 3x - 5,

and the equilateral triangle. Therefore 3x - 5 = 5y - 4.

From the first equation and the second equation we have:

y + 12 = 5y - 4 <em>subtract 12 from both sides</em>

y = 5y - 16 <em>subtract 5y from both sides</em>

-4y = -16 <em>divide both sides by (-4)</em>

Substitute the value of y to the first equation:

4 + 12 = 3x - 5

16 = 3x - 5 <em>add 5 to both sides</em>

21 = 3x <em>divide both sides by 3</em>

<h3>x = 7</h3>
<h3>Answer: x = 7 and y = 4</h3>

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What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago

Graph the line with slope 1 passing through the point (-5,2).

Mars2501 [29]

Answer:

(-5,2) (-7,0)

Step-by-step explanation:

5 0

2 years ago

6/30=3/15 true or false

Dennis_Churaev [7]

Answer: True

Step-by-step explanation: This is because they are equivalent fractions

Hope this helps and have a nice day

4 0

2 years ago

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Ann opened a new savings account with an initial deposit of $250. Which combination will result in a zero in balance in Ann's ac

Blababa [14]

C. (10x3)10 - (27.5x2)10 = 0

8 0

3 years ago

Find the equation of the line which passes through the point (−2,−5) and is parallel to the line −3x+5y=−4.

leonid [27]

-3x+5y=-4
5y=3x-4
Y=3/5x-4/5

When it parallel to the line y=3/5x-4/5

It can be y=-3/5x+b

-5=6/5+b

B=-5-6/5=-25/5-6/5=-31/5

Y=-3/5x-31/5

3/5x+y=-31/5

Multiply 5

3x+5y=-31

4 0

2 years ago

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