Answer:
I need to see the rest of the choices to be able to make a valid decision.
Step-by-step explanation:
I will update this as soon you edit the question
Start at the point (2, -3) and then go up 3 and to the right 4 a few points and then go down 3 and to the left 4 a few points and then from there you can get an equation out of it
Given

subject to the constraint

Let

.
The gradient vectors of

and

are:

and

By Lagrange's theorem, there is a number

, such that


It can be seen that

has local extreme values at the given region.
I haven't done this in a while, but I'm pretty sure the answer is D, (-3, -1.)
If you were to substitute x for -3 and y for -1 in the first inequalities and simplify, it would look like this:
-1 > -3-2
-1 > - 5
And that inequality is true, because -1 is bigger than -5. Let's also substitute in the other inequality, which would be:
-1 > 2(-3) + 2
-1 > -6 + 2
-1 > -4
And -1 is bigger than -4. So, I think the answer would be D because substituting for those values of x and y would stil. make the inequalities true.
Answer:
3 metres
Step-by-step explanation:
If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.
The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:
(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)
16 / 12 = 4 / x , where x is the shadow / unknown we want to find
Cross-multiply:
16x = 48
x = 3
The answer is thus 3 metres.