Answer:
10 units²
Step-by-step explanation:
The shape is a triangle.
The area can be found by multiplying the base (in units) with height (in units) divided by 2.
base = 4 units
height = 5 units


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:
x=1 and y=-3
Step-by-step explanation:
hope this helped :)
Answer:
240
Step-by-step explanation:
4 x -5 = -20
-20 x -12 = 240
240 is your answer
hope this helps!
To figure this out, we just need to plug in the points.
4(-1) - 2(-2) = 0
-4 - (-4) = 0
-4 + 4 = 0
0 = 0
True
The correct answer is a. (-2, -1).