Yes because you are simply translating the shape and moving it and not changing the shape.
How many times does 18 go into 7? The answer is 2 times since 14/7 = 2 and we'll have 4 left over. We can say that 18/7 = 2 remainder 4. The remainder of 4 is placed over the denominator 7 to indicate we a fractional part.
Therefore, 18/7 = 2 & 4/7
Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is

Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Probability of an event =
(number of ways the event can happen) / (total number of possible outcomes) .
Well, the total number of possible outcomes is easy. It's
(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)
= 36 total possible ways for two cubes to roll.
Now, how many of those possibilities show either 4 or 7 ?
Well, here's how a 4 can come up:
1 . . . 3
2 . . . 2
3 . . . 1
and here's how a 7 can come up:
1 . . . 6
2 . . . 5
3 . . . 4
4 . . . 3
5 . . . 2
6 . . . 1 .
So there are 9 ways all together for Lenny to be successful.
The probability is (9/36) .
That's 1/4 , or 25% .
Answer:
The two graphs are perpendicular
Step-by-step explanation:
The slope of the first one is the reciprocal of the second. Also I graphed it.