One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
Answer:
6,8,10 is the pythagoran triplet
Answer:$728
Step-by-step explanation:
$156,000 less 20% is $124,800.
That is the amount that is being financed. If the rate is7% per year the first months interest is:
124,800*.07/12 = $728
You didn't ask but if the mortgage is like most conventional mortgages the 30 * 12 = 360 payments are all approximately equal, with less money expended on paying down the principal at first. Their equal payment would be: $830.30
Answer:
For right angle triangle,
we use Pythagoras theorem that is:

c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,


1225 = 400 + 
= 1225 - 400
= 825

b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,


1369 = 400 + 
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
I think it’s the number 3 I’m not sure I’m learning this stuff rn I’m getting the hang of it just it’s hard and not hard at the same time