Answer:
Parabola with vertex at point (1,0) that goes to the right (see attached diagram).
Step-by-step explanation:
Let the complex number z be
then
and
Thus,
Square it:
This is the equation of parabola with vertex at point (1,0) that goes to the right.
The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.
P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways
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P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
Answer:
243
Step-by-step explanation:
Answer:
The length is 42 inches and the width is 14 inches
Step-by-step explanation:
You know the width is 1/3 of the length, and the length is basically the longer side of a rectangle. The width is y-4, so multiply using distributive property to get 3y-12.
You now know that the 2y+6 is equal to 3y-12, so you add 12 to both sides using additive property of addition to get 2y+18=3y.
Then you subtract 2y from both sides to get the unit value of y.
Y is equal to 18.
Then you can plug 18 into the y's to get
2(18)+6 which is 36+6 = 42
18-4 = 14
There you go.
The length is the longer side which is 42 inches and the width is 14 inches
Hope this helps!
Answer:
The function f(x) translated left by 5 units and then it is reflected across the x-axis.
Step-by-step explanation:
The original equation of the graph of the function is f(x) = x ........ (1)
If we replace f(x) by [- f(x) + 5] then the equation becomes - f(x) + 5 = x
⇒ f(x) = - (x - 5) ..... (2)
So, comparing equations (1) and (2), we can conclude that the graph of the function f(x) translated left by 5 units and then it is reflected across the x-axis. (Answer)
