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: No, the side lengths of 5, 5 and 10 would not be able to.
So the answer is FALSE.
This is because all the lengths must be enough so that when you add the side lengths they are greater then the other, all would work accept 5+5 is not greater than 10.
Answer:
subtract first term from second term
c.d=T2_T1
c.d= -13-(-6)
c.d= -13+6
c.d= -7
Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.
Step-by-step explanation:
On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.
Step-by-step explanation/answer:
Order the numbers from least to greatest!
72, 74, 76, 78, 80, 82, 92, 92
Then calculate the median
First off, What is a median?
The median would be the middle number in the set of numbers
In this case the median would be 79 but let me explain
72, 74, 76, 78, 80, 82, 92, 92,
We cross out every small and greater number from this set until you are left with a number in the set
Thus, the only two left numbers are 78 and 80
Therefore we have to add 78 and 80 then divided by 2
Answer: 79
