Hello! The graph of each linear equation is a set of unconnected points. The thing is that with a solid line, you can have things in-between whole numbers. However, you can’t have a fraction of a movie. Dotted points show that you can’t have in between values and that only whole quantities count.
Remark
This is like using the distributive principle only you are going backwards. Instead of trying to remove brackets, you are trying to create them.
Solution
Since you want to take - 6 outside the brackets you should divide both terms by - 6
<em><u>- 18a</u></em>: - 18a/- 6 = 3a which is left inside the brackets.
<em><u>-30:</u></em> - 30/-6 = 5
- 6(3a + 5)
Answer
-6(3a + 5)
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:

Substituting figures, we have:
Let's make h subject of the formula.

The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
Y=500x+75
Step-by-step explanation: