<h2>
Answer:</h2>
The total number of different arrangements of 7 letters that are possible if the first letter will be w or k is:
617,831,552
<h2>
Step-by-step explanation:</h2>
The number of different arrangements of 7 letters can be formed if the first letter must be w or k such that the repetition of the letters are allowed are:
2×26×26×26×26×26×26
( Since, at the first place any of the 2 letter out of w or k could come up.
and from the second to seventh place any of the 26 letters of the English alphabet may come up )
Hence, total number of arrangements = 617,831,552
Answer:
m=3
Step-by-step explanation:
Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, 
. The slope or 
. This means the slope of the other line will be the negative reciprocal which is -(-3)=3
Lets write a linear equation to represent this flower growth, lets call y the height of the flower in centimeters and x the number of days passed:
y = 205 + 2x
that means that the flower height y, will grow 2 centimeterrs each x days.
So if we have 235 cm height, we can find the amount of days needed if we replace in the equation and solve for x:
<span>y = 205 + 2x
</span>235 = 205 + 2x
2x = 235 - 205
2x = 30
x = 15
therefore the flower needs 15 days to reach 235 cm height
Answer:
x = 1
Step-by-step explanation:
The line 1 passing through the points (-2,4), (0,2) and (1,1) is represented by the function f(x).
Again the line 2 is represented by y = g(x) and it passes through the points (-3,-3), (0,0) and (1,1).
So the only common point between line 1 and line 2 is (1,1) and it will be unique since two straight lines meet at only one point if they are not parallel.
Hence, for x = 1 input value produces the same output value y = 1 for the two functions f(x) and g(x) on the graph. (Answer)
The answer is D, because the others can be solved. A when factored is equal to -3, when B is factored it is equal to 3,-1, when C is factored it is 1,-4. D can be solved but you will only get irrational numbers which can't be used.
