Since prime numbers only have two factors (itself and 1) then it would have to be the same number. So it would be the number besides one. Ex. Prime number: 7, the GCF would be 7 if it was compared with itself.
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.
If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)
sin(x) = 11/60 Solve the equation for x
x = 10.56
Answer:
a =13/5
Step-by-step explanation:
f(x) = 6x − 5
f(5a) = 6*5a − 5=73
30a -5 = 73
Add 5 to each side
30a -5+5 = 73+5
30a =78
Divide by 30
30a/30 = 78/30
a =13/5
(2+1)+3=2+(2+2)
Any two numbers that add to 4.
