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:
I don’t know
Step-by-step explanation:
Go ask your teacher please help me
With this What is a linear function in the form y= mx + b for the line passing through (4.5, -4.25) with y-intercept 2.5?
Answer:
56
Step-by-step explanation:
The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).
The sum of a triangles' angles is 180 degrees.
Therefore 4v-44 = 180.
v - 11 = 45
v = 56 degrees
Note: always check if the answer makes sense
Answer:
We are asked to find the duration of entire race. As Rachel finished of the race in 6 hours, so of x will be equal to 6. Therefore, the duration of entire race was 8 hours.
( i looked this up but that is the answer i dont take any credit for this answer)
Get the value of the decimal:

Remember that percentages are simply the value of a decimal multiplied by 100. (From the Latin, "per centus", meaning "per 100")
therefore: