Red Perimeter= 4u X π= 4uπ
Blue Perimeter= u X π= uπ
Red Area= 2u X 2u X π= 4u2π
Blue Area= u X u X π= u2π
Answer:
305
Step-by-step explanation:
We are adding 3 each time
5+3 = 8
8+3 = 11
The formula for an arithmetic sequence is
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = 5+3(n-1)
We want the 101 term
a101 = 5 +3(101-1)
= 5+3(100)
= 5+300
= 305
Multiply each term by
b
and simplify.
a = cb
Rewrite the equation as
cb = a
Divide each term by
c
and simplify.
b = a/ c
There is no graph attached
The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.
21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)
22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)
23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.
24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.
from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.
