Midpoint of (a,b,c) and (e,f,g) is
((a+e)/2,(b+f)/2,(c+g)/2)
just average them
the x value
(2+-2)/2=0/2=0
the y value
(-2+0)/2=-2/2=-1
the z value
(4+6)/2=10/2=5
(0,-1,5) is da midopint
Answer:
Step-by-step explanation:
Check attachment for solution
So, I believed the first case is correct since it gave us one of the option, then, the answer is D.
9√3.
So, UW = 9√3
Hi! Sorry if this is wrong, but I believe it would be f(x)= |x+5|-4. This is because it shifts to the left, so it is adding 5 to the x in the absolute value bars. And it shifting 4 units down would be negative. Hope this helps!
Answer:
Part A) The amplitude = 24
Part B) The period = 24
Part C) Vertical shift = 36
Step-by-step explanation:
The general equation of the sine function:
y = A sin (Bx) + C
Where A is the amplitude and B = 360°/Period and C is the vertical shift
See the attached figure which represents the graph of m and f(m)
So,
<u>Part A:</u>
The function has minimum at 12 and maximum at 60
The difference is = 60 - 12 = 48
So, The amplitude = 48/2 = 24
<u>Part B:</u>
Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.
We can deduce that the function completes one cycle within 24 months
So, the period = 24
<u>Part C:</u>
Vertical shift is obtained at m = 0
So, f(m) = 36
36 = A sin (0) + C
C = 36 ⇒ Vertical shift
So, The amplitude = 24
The period = 24
Vertical shift = 36
Answer:
I wasn't sure if you meant centimeters, inches or degrees. But since I don't know, I'll answer all three.
Step-by-step explanation:
Centimeters- Possible
Inches- Possible (Extremely big. I suggest using a big whiteboard to draw out)
Degrees- Impossible (All degrees in a triangle have to add up to 180)