There is no solution to this set that works for both equations. If you multiply the top equation by 2 and then add them together, the x and y numbers will cancel. This leaves you with 0 =1010, which is never true.
Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
9. 5y
10. 102 square-4
11. 2a5 square +5b
12. 8m+2+4n
Answer:
A= 37 degrees
C= 43 degrees
Step-by-step explanation:
Hey there!
So this question looks a lot more complicated than it really is.
Complementary angles are the same.
Supplementary angles add up to 180 degrees or in other words a straight line.
If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.
To find C, all we would do is subtract 37 from 180 to find the leftover amount.
180-37=43
So, in conclusion:
A= 37 degrees
C= 43 degrees
Hoped this helped! :D
Comment if you have any further questions!
