Answer:

Step-by-step explanation:
we know that
An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)
so
The perimeter is equal to

where
b is the length side of the equilateral triangle
we have

substitute

solve for b

Find the area
The formula of area applying the law of sines is equal to

substitute the value of b




The required equation of the line passing the coordinates will be y = 3/4x - 1/4
<h3 /><h3>Equation of a line</h3>
The standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Learn more on equation of a line here: brainly.com/question/18831322
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Add ( ) around part of the equation making sure there is a number in foront of it.
ex.) f(x) = 4(3x+13) -21
Answer:
12 is the denominator.
Step-by-step explanation:
<u>Here's a trick:</u>
If your ever making a proportion or equivalent fractions, always see what number the numerator/denominator is multiplied by to make the equivalent fraction.
In our case we have 3 being multiplied by x to get 18.
Since this is just 18 divided by 3, we ge that x = 6.
Now we can figure out our denominator's value.
We will multiply 2 times x to get our answer.
Since x = 6, we have 2 * 6 = 12 is our answer.
<u>Check:</u>
When we simplify, our answer should be equivalent to 3/2. If it isn't we've made a mistake. 18/12 = 6/4 = 3/2 so we are correct.