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3 years ago

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The length of the sides of a triangle are 2x +y/2, 5x/3+y + ½ and 2/3x +2y +5/2. If the triangle is equilateral, find its perime

ter.

1 answer:

Sav [38]3 years ago

6 0

Answer:

Step-by-step explanation:

If the triangle is equilateral :

2x +y/2 = 5x/3+y + ½ = 2/3x +2y +5/2

so the perimeter is : P = 3(2x +y/2) or 3(5x/3+y + ½) or 3(2/3x +2y +5/2)

the simplest is : P = 3(2x +y/2)

P = 6x + (3y)/2

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which of the following represents the area of a rectangle whose length is 5x-3 and whose width is x+7

Neko [114]

Answer:

The answer is 5x^2+32x-21

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length by the width. Then, you will get the equation of (5x-3)(x+7). Then, multiply these two together, therefore getting 5x^2+32x-21.

5 0

3 years ago

Which graph shows a rate of change of 1/2 which is a fraction between –4 and 0 on the x-axis?

irakobra [83]

By definition, we have that the average rate of change is given by:

$AVR = \frac{y2-y1}{x2-x1}$

Substituting values we have:

$AVR = \frac{3-1}{0-(-4)}$

Rewriting we have:

$AVR = \frac{2}{0+4}$

$AVR = \frac{2}{4}$

$AVR = \frac{1}{2}$

Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.

Answer:

graph shows a rate of change of 1/2 is the linear function

6 0

3 years ago

Read 2 more answers

Y<br> 45°<br> 30°<br> N<br> 17<br> I need help pls

melisa1 [442]

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H ( $Sine=\frac{opposite}{hypotenuse}$ )

C=A/H ( $Cosine=\frac{adjacent}{hypotenuse}$ )

T=O/A ( $Tangent =\frac{opposite}{adjacent}$ )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

$\frac{17}{tan(30)} = 29.44486372...$

x=29.4

Try to do <em>y</em> on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

4 0

2 years ago

Alonzo wrote the equation x=2+4y-5 solve for y

kati45 [8]

hi

if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4

conclusion y = (x+3)/4

3 0

3 years ago

Write the standard form of the line that passes through (-1,-3) and (2,1).

kobusy [5.1K]

Answer:

Step-by-step explanation:

$\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\$

$\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\$

Convert equation to standard form

$y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5$

5 0

3 years ago