The difference between speeds, during the first 20 minutes and last 20 minutes, would be 4.3 miles. The key word here is difference which automatically tells us to subtract. In this case you would subtract 6.8 miles, the last 20 minutes, by 2.5 miles, the first 20 minutes. In the end, getting 4.3 miles. Hope this helps! :)
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
The point-slope form is
m, the slope, is 1/2.
To find b, we plug in the point (6,-3) to the equation:
First, we multiply 1/2 × 6 = 3. Then we subtract 3 from both sides. We find that b is -6.
Therefore, the point-slope equation is:
This is the second option.
Answer:
5/12
Step-by-step explanation:
Total number of marbles in the bag
6red+ 4blue + 14 yellow = 24 marbles
Not yellow marbles = 10 marbles
P ( not yellow ) = number of not yellow marbles / total marbles
=10/24
= 5/12
