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:
Step-by-step explanation:
No, it doesn’t have a positive slope because the negative sign in front 2 means that the slope is negative and going down. If the slope would’ve been positive than there wouldn’t have been a negative sign and it would go up.
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
How many jersey for the teams don't make no sense
The correct answer is 20.7 inches of snow
Explanation:
The chart registers the total of snowfall at the school, in this, you can observe the total of snow in December was 3.4 inches, while in January the total was 12.3 and in February it was 8.4. Additionally, if you want to know the total during January and February combined the correct process is to add the two numbers. This means 12.3 inches (January) + 8.4 inches (February) = 20. 7 inches (Total in January and February.) Thus, the answer is 20.7 inches of snow.