Answer:
JADAAAAAA! I snuck on brainly while im at the library! get on rob lox!
The Lagrangian for this function and the given constraints is

which has partial derivatives (set equal to 0) satisfying

This is a fairly standard linear system. Solving yields Lagrange multipliers of

and

, and at the same time we find only one critical point at

.
Check the Hessian for

, given by


is positive definite, since

for any vector

, which means

attains a minimum value of

at

. There is no maximum over the given constraints.
Answer:
The original area would be multiplied by the scale factor of 2² to get the new area.
Step-by-step explanation:
If you double the radius lets so lets do an example
(a=πr²) so
if x is the radius the area would be x²π
double the radius so 2x then the area would be
(2x)²π so 4x²π
4x²π/x²π= 4 so its 4 times greater or
D the last answer or The original area would be multiplied by the scale factor of 2² to get the new area.
Hey there!
1.) let's remember that a acute angel is very tiny, it is less then 90 degrees. So we would want to find one of your options that would be very small.
46 would seem to be the answer.
x=46
Hope this helps you.
Answer:
When we know all 3 sides, we use Heron's Formula
area = sqrt [s *(s-a) * (s-b) * (s-c)]
where "s" is the semi-perimeter which in this case equals
s = (6 + 8 + 12) / 2 = 13
area = sqrt [13 * 5 * 7 * 1]
area = sqrt 455
area = 21.3307290077
area = 21.33 square feet (rounded)
Step-by-step explanation: