To find the slope, you find the change in y-values over the change in x-values.
Your first point is: (5,-3)
Your second point is (8, -5)
Your x-values are: 5 and 8
Your y-values are -3 and -5
The equation to find slope is: slope = (y2-y1)/(x2-x1)
- The 2s and 1s indicate which point the values belong to, it makes sure that you align the right x-value with its correct y-value. It doesn't matter which point you assign as 1 or 2, as long as the values match
- So, x-value 5 will match with y-value -3, and x-value 8 will match with y-value -5
Now you plug in out values :
slope = (y2-y1)/(x2-x1)
slope = (-5-(-3))/(8-5)
slope = (-2)/(3)
slope = -2/3
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
Answer:
$25
Step-by-step explanation:
Multiply $20 by 0.25 (which is 25% as a decimal)
$20 x 0.25 = $5
Add $5 to $20 which makes the answer $25
Answer:
look at the picture for the answer
