13 = r/12, first to cancel 12 and leave r alone you multiply it by 12 and it cancels and whatever you do on one side you do to the other. So you multiply 13 times 12 too.
You are then left with, 13•12 = r
Which is 156
Therefore,
r = 156
6 and 11.
6 + 11 = 17
6 × 11 = 66
Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
(-1, 2)
So the original point is (3, 4), when you move to the left or right, it changes the x value. When moving it to the right, you add the amount. When moving to the left, you subtract the amount
So after translating the point 4 units to the left, it should be (-1, 4).
Now, you have to move down. When moving up and down, you add or subtract to the y value. When moving up, you add to the amount. When moving down, you subtract the amount.
After subtracting 2, you should be at (-1, 2)
Answer:
Step-by-step explanation:
There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.
One: 6^(1 - 1) = 6^0 = 1
Two: 6^(2 - 1) = 6^1 = 6
Three: 6^(3 - 1) = 6^2 = 36
Four: 6^(4 - 1) = 6^3 = 216
Sum = 259
