Answer:
10/3 or 3.33333333...
Step-by-step explanation:
In order to find x, you must isolate it on one side. To do this, add 24 to both sides to cancel out the "-24" on the side with x on it. This gives you 12x=40. Now, divide 40 by 12 to cancel out the "12" attatched to the x. This will give you 3.333333... or 10/3.
Please find the attachment for a better understanding of the answer.
As we can clearly see from the diagram, as the radius of the circle reduces so does the length of the arc for the same congruent angle subtended at the center.
Thus the length of the arc intercepted by a congruent central angle is proportional to the radius in similar circles.
This can be mathematically proven as thus:
Let
be the length of the arc
Let theta be the central angle
Let r be the radius.
We know that
=(theta)r
Therefore, for a constant theta, the arc length will vary in the same proportion as the radius.
The y goes down 5 every time x goes up 1. The equation would be y=-5x-1
Answer: 15
Step-by-step explanation: we use distributive property to find the answer
we basically multiply 5 by 3, which is 15.
Answer:

Step-by-step explanation:
The graph of y=|x-k|+h is the graph of y=|x| shifted k units to the right and h units up. To reflect the equation across the x-axis (flip it upside down), the equation changes to
.
Hope this helps!