Answer:
Step-by-step explanation:
Given
Required
Determine the inverse function
Start by replacing f(x) with y
Swap the positions of y and x
Make y the subject: <em>Add 4 to both sides</em>
Make y the subject: <em>Divide through by 2</em>
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Replace y with f-1(x)
An = a1 * r^(n-1)
n = term to find = 18
a1 = first term = 3
r = common ratio = 4/3
now we sub
a18 = 3 * 4/3^(18 - 1)
a18 = 3 * 4/3^17
a18 = 3 * 133
a18 = 399
Answer:
5. 43.98 (if not rounding pi, if rounding pi it is 43.96)
6. 201.06 (if not rounding pi, if rounding pi it is 200.96)
7. 72.8
8. 84
9. 3.6
10. 140
11. C
12. 12.6
Step-by-step explanation:
5. C=2*pi*r
6. A=pi*r^2
7. angles in triangle must add up to 180
8. A=bh
9. radius is half of diameter
10. A=(hb)b/2
11. A=pi*r^2
12. radius is 1/2 of diameter
Answer:
The larger of the two is 44.67
Step-by-step explanation:
let the first number=x
let the second number=y
We can derive a system of equations using the mathematical statements
Their sum is 33:
x+y=33( call this equation 1)
Sum of first number and four times the second is -2:
x+4y=-2(call this equation 2)
Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it
For this explanation, I choose to subtract equation 1 from 2
(x+4y=-2)-(x+y=33)=3y=-35
y=-35/3
Now plug in the value of y into any equation for that of x. Say we plug into equation 1
x+(-35/3)=33
x-35/3=33( multiply through by 3)
3x-35=99
3x=99+35
3x=134
x=134/3
Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67
They would be 90 degree angles right?? Because they all make a box that’s my guess
