Answer:
Since zero is on the origin (0,0) a 90 degree rotation will intercept the origin no matter what so, it can't be parallel.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Solving in steps</u>
- 3| 4.5 - 2| - 5 |-1.5 -(- 3)| =
- 3 |2.5| -5 |-1.5 + 3| =
- 3*2.5 - 5|1.5| =
- 7.5 - 5*1.5 =
- 7.5 - 7.5=
- 0
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3
Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6
We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542
Based on the above calculations, the four numbers are:
542, 543, 544 and 555
Answer: Options A and C.
Step-by-step explanation:
The parent exponential function has the form:
This can be transformated as following:
When you multiply the function by a factor <em>a</em> (
)<em> </em>and <em>a>0 </em>, then the function is vertically stretched.
When you add a number <em>k</em> to the parent function, the function is shifted up (
)
The parent function given in the problem is:
To obtain the function 
, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.
Therefore, the graph is shifted up and vertically stretched.
