Inequality 1: y ≤ 5x + 1
Inequality 2: y > x - 2
#1. The slope is 5, the y-intercept is 1, the shaded area is below the line and the line is solid, which means that y is less than or equal to the equation. (you add the "equal to" because the line is a solid line)
#2. The slope is 1, the y-intercept is -2, the shaded area is above the line and the line is dotted, which means that y is greater than the equation
Answer:
C. R = 17.9 degrees
Step-by-step explanation:
We have a rectangle triangle with the adjacent side and the opposite side (neither of which are the hypotenuse).
The relation between those elements is the tangent:

So, to isolate the angle, we modify the formula as such:

If we round 17.87 degrees to the tenth... we get 17.9 degrees.
You just plug in the -2 for x to get the equation -2^2–3•-2+4= 6
The answer is 1.
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Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg,
+
=
, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm