Answer:
4 feet per second
Step-by-step explanation:
Hi there!
where v is velocity (speed), D is distance and t is time
Plug in the known values (D=180 feet, t=45 seconds)
Therefore, the speed of the ball is 4 feet per second.
I hope this helps!
Deer hunters like killing them so they die
Answer:
39 ft
Step-by-step explanation:
Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.
Pythagorean theorem: 
.... which a and b are the two sides while x is the diagonal.
... now we square root both sides
Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.
13 * 3 = 39 ft
Answer:
$6500
Step-by-step explanation
x = amount ($) loaned at 6%
then
18000-x = amount ($) loaned at 14%
.06x + .14(18000-x) = 2000
.06x + 2520-.14x = 2000
2520-.08x = 2000
-.08x = -520
x = $6,500
For Part A, you need to input x=6 into the equation 8x + 8 = 56 to see if 6 is a solution of that equation. It'll be 8(6) + 8 = 56 -> 48 + 8 = 56 -> 56 = 56. Does 56 equal 56? Then yes, x = 6 is a solution of the equation 8x + 8 = 56.
For Part B, it changed the value of x from 6 to 9. It also states that the left side of the equation (left side of the equal sign) stays the same so it'll still be 8x + 8. You do what you did in Part A, but instead of inputting 6, you do 9. It'll be like this: 8(9) + 8. It's asking how the right side would change, but that's basically asking what the answer is. If you do the math correctly, it'd be 72+8, which would be 80. The right side would need to be 80 if the solution is now x = 9.
