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
Answer:
C
Step-by-step explanation:
The volume of a cone is given by 
The volume of a cylinder is given by 
<em>Where h is the height and r is the radius</em>
The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:

The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:

We can see that they are equal. So answer choice C is right.
Answer:
x=4 and y=2
Step-by-step explanation:
Name the triangles as ABC and DEF,
Now, since both the triangles are congruent by HL rule, therefore
(1)
and
(2)
Substituting the value of
in equation (1), we get



Therefore, Putting y=2 in equation (2),

Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
Answer:
I think it is b but I could be wrong