Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
Answer:
it's true! it's easier to solve for y because there's no coefficient in front of it unlike the second one that has "9y."
<em><u>Question:</u></em>
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
<em><u>Answer:</u></em>
<h3>Arc length is 11.30 feet</h3>
<em><u>Solution:</u></em>
Given that,
Radius of circle = 12.6 feet
Central angle =
radians
To find: Arc length
<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

Where,
s is the arc length
r is the radius
is the central angle in radians
<em><u>Substituting the values we get,</u></em>

Thus, arc length is 11.30 feet