Answer:
a2b
Step-by-step explanation:
a6b3 / a4b2
When dividing exponents, you subtract them.
a6-4
b3-2
Leaving you with a2b
Answer:
x = 1 - 5t
y = t
z = 1 - 5t
Step-by-step explanation:
For the equation of a line, we need a point and a direction vector. We are given a point (1, 0, 1).
Since the line is suppose to be a tangent to the given curve at the point (1, 0, 1), we need to find a tangent vector for which the curve passes through that point.
We have x = e^(-5t)cos5t
at t = 1, x = e^(-5)cos5
at t = 0, x = 1
y = e^(-5t)sin5t
at t = 1, y = e^(-5)sin5
at t = 0, y = 0
z = e^(-5t)
at t = 1, z = e^(-5)
at t = 0, z = 1
Clearly, the only parameter value for which the curve passes through the point (1, 0, 1) is t = 0.
In vector notation, the curve
r(t) = xi + yj + zk
= e^(-5t)cos5t i + e^(-5t)sin5t j + e^(-5t) k
r'(t) = [-5e^(-5t)cos5t - e^(-5t)sin5t] i +[e^(-5t)cos5t - 5e^(-5t)sin5t] j - 5e^(-5t) k
r'(0) = -5i + j - 5k
is a vector tangent at the point.
We get the parametric equation from this.
x = x(0) + tx'(0)
= 1 - 5t
y = y(0) + ty'(0)
= t
z = z(0) + tz'(0)
= 1 - 5t
It grew 3/10, which equals 0.3 centimeters every day, and as a fraction, 3/10 would be the answer.
3/10 is the answer.
Hope this helps, and have a nice day!
P=2l+2w
Since it is given that P=26m, length is 5 more than its width (w+5), we'll work it out in the perimeter formula.
26=2(w+5)+2w
26=2w+10+2w
26=4w+10
4w=26-10
4w=16
w=4
Thus the width is 4m. Let's find the length.
l=w+5
l=4+5
l=9
The length of a pen is 9m.
Answer:
220
Step-by-step explanation:
110 cannot be the lcm for 20 but 10 and 110
so 220 can be the lcm for 20, 10, and 110
hope this helps
