Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).
180/3 = 60
then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.
this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"
this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.
12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x (simplifying the radical we get "x" equals 4 square root 3)
now we may solve for the side length of the triangle which is "2x"
2*4sqrt(3) -> 8sqrt (3)
eight square root of three is the answer.
Answer: Yes, it is correct
Step-by-step explanation: Because of that, When you multiply 4.2 x 3 x 4 = 50.4
4.5 x 10 to the power of 4
Answer:
Slope: 
Y-intercept: 399
Slope-intercept form: 
Step-by-step explanation:
1. The equation in Standard form is given in the problem:
2. Then, to write the equation of the line in slope-intercept form 
, where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:
3. Therefore, the slope and the y-intercept are:
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Explanation:</h2><h2>
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Here you haven't provided any function, so I'll assume this one:
This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:
Therefore:
Therefore, the vertex is:
