Answer:
60/13
Step-by-step explanation:
Use area.
5 x 12 x 1/2 = h x 13 x 1/2
13/2 h = 30
13 h =60
h = 60/13
Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
－81＝3(5－4r)
27＝－(5－4r)
27＝－5＋4r
－4r＝－5－27
－4r＝－32
r＝8
Hope my answer helped u :)
For 5, what is happening is all the points shift down negative 2 on the Y axis and then flip over the x axis.
For 6, it would flip over the Y axis and start at positive 1 x the opposite
Step-by-step explanation:
Factor by grouping,
Complete the square, with the x variables,
Factor out 25 for the y variables
Complete the square
Simplify the perfect square trinomial
Make the right side be 1 so divide everything by 25.
Here our center is (7,2).
