For this triangle in particular, we can use the special rules of a 30-60-90 triangle
This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x
We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4
Now that we have our 30° side length we can just multiple it by sqrt(3)
That means your x = 4 sqrt(3)
<span>x-intercept is when y = 0
0 = -1/2x - 2
1/2x = -2
x = -4
x-intercept = (-4,0)
y-intercept is when x = 0
y = -1/2(0) - 2
y = -2
y-intercept = (0, -2)
(note that in the form y = mx+b, b is the y-intercept, so in y = -1/2x - 2, -2 is the y-intercept)
Now to graph, simply plot these two points (-4, 0) and (0, -2) and draw a line between them.
Best of luck!</span>
Answer: C. Infinite
Explanation: (To explain this answer, I'll use 1 = 1) When you get 1 = 1 after doing an equation, this mean the answer is "all real numbers", which is the same term as "infinite" because it will always be true. Therefore, 0 = 0 will always be a true statement.
<span>The equation of any straight line, called a linear equation,can be written as:y=mx+b, where m is the slope is the slope of the line and b is the y intercept. The y- intercept of the line is the value of y at the point where the line crosses the y axis</span><span>.
I hope this helps :)
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