Answer:
2/3
Step-by-step explanation:
so the inverse takes us from the range to the domain... they tell us that f(4) goes to 5.. so if we were to take the inverse f(5) it takes us back to 4... and the slope at 4 or the derivative was 2/3 so that's what we get for f '(5) :)
Ok to start you need to break this into a net in your head. Next, calculate each triangle
(6*7)/2 = 21
Then, multiply each triangle by the amount of them.
21*4 = 84
Next, get the area of the square.
7*7 = 49
Lastly, add the triangles and the square up.
49 + 84 = 133
Answer:
x = 3
Step-by-step explanation:
ΔABC is 45 45 90 right triangle
The ratio of leg: hypo = a : a√2
Given: hypo AC = 6√2; so AB = BC = 6
ΔBCD is 30 60 90 right triangle
The ratio of short leg : long leg : hypo = x : x√3 : 2x
Hypo. BC = 6 = 2 (3)
So short leg BD = x = 3
2(3x+4y) = 2(24)
6x+8y = 48
Add both the equations
6x + 8y = 48
+ x - 8y = -20
—————————
7x = 28
x = 28/7
x = 4
Plug in this value in the second equation
(4) - 8y = -20
-8y = -24
y = -24/-8
y = 3
Therefore:
x = 4
y = 3