Answer:
FD≈25.94.. rounded = 26
Step-by-step explanation:
FD²=12²+(4x+11)²
FD²=144+16x²+88x+121
FD²=265+16x²+88x
also
FD²=12²+(13x-16)²
FD²=144+169x²-416x+256
FD²=400+169x²-416x
thus
265+16x²+88x = 400+169x²-416x
16x²-169x²+88x+416x+265-400 = 0
-153x²+504x-135 = 0
we will solve this quadratic equation by suing the quadratic formula to find x
x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)
x=(-504±
)/2(-153)
x=(-504±
)/-306
x=(-504±
)/-306
x=(-504±414)/-306
x=(-504+414)/-306 and x=(-504-414)/-306
x=-90/-306 and x=-918/-306
x= 5/17 , 3
substituting x by the roots we found
check for 5/17:
4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..
13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..
check for 3:
4x+11 = 4×3+11 = 12+11 = 23
13x-16 = 13×3-16 = 23
thus 3 is the right root
therfore
ED=23 and CD=23
FD²=FE²+ED² or FD²=FC²+CD²
FD²=12²+23²
FD²=144+529
FD²=673
FD=√673
FD≈25.94.. rounded = 26
Answer: 
Step-by-step explanation:
The volume of a cube can be found with this formula:

Where "s" is the lenght of any edge of the cube.
The formula for calculate the volume of a rectangular prism is:

Where "l" is the lenght, "w" is the width and "h" is the height.
We need to find the volume of a cube box:

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

Then the volume of the shipping box is:

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

Answer:
Nope
Step-by-step explanation:
y = 6x - 2
(1, 2)
2 = 6(1) - 2
2 = 6 - 2
2 = 4
(1, 2) isn’t on the line
Answer:
fidgety ushering txt scarecrow
Answer:
1. area = 16.492
2. area = 19.798
3. area = 15.874
4. area = 13.555
5. area = 12.349
6. area = 24.37
<em>good luck, i hope this helps :)</em>