Answer:
The equation is y= 0,65 x
Step-by-step explanation:
are the critical points, and judging by the picture alone, you must have
and
. (You might want to verify with the derivative test in case that's expected.)
Then the shaded region has area
I'll leave the details to you.
Now, for part (iv), you're asked to find the minimum of
, which entails first finding the second derivative:
setting equal to 0 and finding the critical point:
This is to say the minimum value of
*occurs when
*, but this is not necessarily the same as saying that
is the actual minimum value.
The minimum value of
is obtained by evaluating the derivative at this critical point:
Answer:
Step-by-step explanation:
The sides of a triangle are 6cm, 6cm, and 4cm.
According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.
So,
6+6=12>4
6+4=10>6
4+6=10>6
Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.
For any equation with more than one variable, there is either no solution or infinitely many solutions.
If we can find just <em>one</em> solution that works, that would eliminate the possibility of there being no solution, and so we could prove it to have infinitely many solutions.
Can we come up with at least one solution to these equations? Of course!
For x=y
Thinking of two equal numbers is extremely easy. For instance, if we chose x to be 2 and y to be 2, that's a solution right there! Thus x=y has infinitely many solutions.
It's just as easy picking two numbers that are equal when you multiply them by 1.25. Think back to the multiplication property of equality. If two things are equal, and you multiply them by a number, they will still be equal. So all we need is, once again, two equal numbers. 2 and 2, boom and boom. 1.25x=1.25y has infinitely many solutions as well.
