We want to graph the solution for the given inequality, the graph of it can be seen at the end of the answer.
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Working with the inequality:</h3>
The first thing we need to do is simplify our inequality, we start with:
-5*x > 11.5
We want to isolate x, so we need to divide by -5 in both sides, because we are using a negative number to multiply/divide, the "direction" of the inequality sign changes, so we et:
-5*x/(-5) < 11.5/(-5)
x < -2.3
So the solutions are all of these values smaller than -2.3, this will be represented with an open dot at -2.3, and a shaded line to the left of that point, an example of the graph can be seen below.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
Slope-intercept form is y = mx + b, so to turn that equation into slope-intercept you'll need to get y alone
4x - 8y = 8 --- subtract 4x
-8y = 8 - 4x --- divide by -8
y = -1 + (1/2)x --- reorder to match "mx + b"
y = (1/2)x - 1
in y = mx + b, "m" is the slope and "b" is the y-intercept. so for part B, your slope is (1/2) and your y-intercept is (-1). take the sign with you.
for part C, you'll need to know point-slope form: (y - y1) = m(x - x1)
you'll also need to be aware that "perpendicular" lines have a slope that is the opposite reciprocal of the original line.
the original slope is (1/2). change the sign to negative and form a reciprocal: your new slope is -2. plug that into your point-slope form
(y - y1) = m(x - x1)
(y - y1) = (-2)(x - x1)
and lastly, plug in your given point: (1, 2)
y - 2 = (-2)(x - 1)
so, just to look a little neater without all of the work:
A) y = (1/2)x - 1
B) m = (1/2), b = -1
C) y - 2 = (-2)(x - 1)
Answer:
150 degrees and 30 degrees
Step-by-step explanation:
Let's say the measure of the angle is x. This angle is 5 times that of its supplementary, supplementary angles will add up to 180 degrees. So we have an equation of x = 5(180-x). Solve this equation for x
x = 5(180-x)
x = 900 - 5x
6x = 900
x = 150 degrees, this is the value of one angle
The other angle is 180-x = 180-150 = 30 degrees
A triangle with a base of 2 and a height of 3.
Double the base and it becomes 4, and double the height and it becomes 6.
Area of the new figure = 1/2 * base * height = 1/2 * 4 * 6 = 2 * 6 = 12
The area of a towelette with double the base and double the height is 12 inches^2.
