Let "a" and "b" be some number where:
a - b = 24
We want to find where a^2 + b^2 is a minimum. Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.
So we can first substitute for "a" where a = b+24
So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576
Then we take the derivative and set it equal to zero:
4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12
Thus "a" must equal 12.
So:
a = 12
b = -12
And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.
The smallest sum is 288.
Answer:
I got the answer of 21.99115. Do I need to round too? If so, look up a rounding calculator and you can put in that decimal number and round to what the question says to round to.
I hope this helps!
I would say a triangle with two right angles because a triangle's angles add to 180 degrees. If a triangle has two right angles, it means that two angles will be 90 degrees, which add to 180 degrees. A triangle must have three angles and sides, and it is not possible for the last angle to be 0 degrees.
Hope this helps
It is probably a rectangle so u see the answer would make s eve but in your mind does it
Answer:
2.5 miles per minute
Step-by-step explanation:
speed = distance ÷ time
speed = s
distance = 25 miles
time = 10 minutes
s = 25÷10
s = 2.5 miles per minute
