Answer:
1/2, -1/8, 1/32
Step-by-step explanation:
Answer:she has 4 weeks worth of lunch money
Step-by-step explanation:first 5×2=10
Then 10×4=40
When you want to find the slope of the perpendicular line, all you have to do is flip the known slope upside down and make it negative. You know that
slope is 3 and you know
is perpendicular. So, just flip 3 upside down into
and then make it negative,
-<span>
. If you look at the coordinate grid, you can see that
crosses the y-axis at 4. When you put those into slope-intercept form you get
= -</span>
x + 4.
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Sorry if I'm too late but the answer is 23.3
