Answer:
-2(6-3x)=-12+6x
Step-by-step explanation:
If you do the distributive property first and look at the other side of the = sign they are the same, which means that the answer would be x=x, which isn't a solution.
The distance between a point

on the given plane and the point (0, 2, 4) is

but since

and

share critical points, we can instead consider the problem of optimizing

subject to

.
The Lagrangian is

with partial derivatives (set equal to 0)




Solve for

:


which gives the critical point

We can confirm that this is a minimum by checking the Hessian matrix of

:


is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
You have to take 20/7 and you get a answer of <span>2.85 as a decimal. or a mixed number of 2 17/20</span>
Answer:
There are 3 possible answers because you didn't state which value was base or height.
Going off the assumption that the base is 15 cm and the height is 8 cm, the area is 60 cm. (same answer if base is 8 cm and height is 15 cm)
A = 1/2(b*h)
A = 1/2(15*8)
A = 1/2(120)
A = 60
Going off the assumption that the base is 17 cm and the height is 8 cm, the area is 68 cm. (same answer if base is 8 cm and height is 17 cm)
A = 1/2(b*h)
A = 1/2(17*8)
A = 1/2(136)
A = 68
Going off the assumption that the base is 15 cm and the height is 17 cm, the area is 127.5 cm. (same answer if base is 17 cm and the height is 15 cm)
A = 1/2(b*h)
A = 1/2(15*17)
A = 1/2(255)
A = 127.5