Graph the inequality y > 1/2 x - 2
1 answer:
Slope intercept form:
y=mx+b
Where:
m= slope
b= y-intercept
For: y=1/2x-2
slope = 1/2
b= -2
To graph it we have to look at the y-intercept.(-2) It means that the line crosses the y axis at y=-2.
looking at the slope, we know that slope = rise (y) / run (x). 1/2
For every 2 units along the x-axis (to the right) the line goes up by 1 unit.
Since inequality has a y> the line is not included in the solution, so it's a dashed line, where the solution is above the line.
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The equations that can be used to find the lengths of the legs of the triangle are as follows:
- 100 = (x + 2)² + x²
- 24 = 0.5 × (x + 2)(x)
- x² + 2x - 48 = 0
The equation that can be used to find the length of the leg of the right triangle uses Pythagoras theorem,
Therefore,
c² = a² + b²
where
- c = hypotenuse side
- a and b are the other legs
Therefore,
10² = (x + 2)² + x²
100 = (x + 2)² + x²
Therefore, using the area of a triangle,
area of a triangle = 1 / 2 bh
where
- b = base
- h = height
Therefore,
area of the triangle = 1 / 2 × (x + 2)(x)
24 = 0.5 × (x + 2)(x)
24 = x² + 2x / 2
cross multiply
48 = x² + 2x
x² + 2x - 48 = 0
learn more on equation here: brainly.com/question/14992132
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[2,INFINITY SIGN)
{y|y greater than and equal to 2}
i hope it helps
{y|y greater than and equal to 2}
i hope it helps