Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided. The expression that was provided is 
.
The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common. We can see that both 
and 
have the number 5 and the variable c associated with them so we can factor out those two.
<u>Factor out 5c</u>
Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of 
.
What is the slope of the line in the graph show below? c1
Answer:
Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.
Step-by-step explanation:
Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:
πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.
But, it is given that the circular speed of the object is 90π inches per minute. So,
90π = 15πr
r = 6 inches
Since, diameter is the double of radius, d = 2r = 12 inches.
For more explanation, refer the following link:
brainly.com/question/17978382
#SPJ10
w=37
2w+w+69= 180 knowing that all triangles add up to 180 form an equation
3w+69=180 combine like terms and subtract 69 from both sides
3w=111 divide by 3 from both sides
w=37
