Answer:
L=35cm
Step-by-step explanation:
Perimeter is 2(L+w)
156cm=2*(43+L)
L=35cm
Step-by-step explanation:
Given that,
Directrix, d= -5, and eccentricity, e = 2.
The polar equation of the conic is given by :

Put all the values,

As e>1, it is a hyperbola. Hence, this is the required solution.
A) We know that

where d

= distance,
v = velocity,
t = time
In this case, d = 2 mi., t = 30 min. So we get

Dividing both sides by 30, we get

Thus a function for his walk would be

where y = distance and x = number of minutes he walks.
b) Domain of a function is a set of x-values on which the function defined. In this case, the number of minutes is 30 at maximum. So the domain of the function is [0, 30].
Answer:
See the answers below
Step-by-step explanation:
Nine
The first step is to find the common difference. That's found by using
<em><u>Common Difference</u></em>
t4 - t3
t4 = - 15
t3 = - 19
t4 - t3 = -15 - - 19
t4 - t3 = -15 + 19
t4 - t3 = 4
t1 = - 27 which is the first term.
<em><u>Explicit formula</u></em>
tn = a + (n - 1)*d
tn = - 27 + (n - 1)*4
t5 = -27 + (5 - 1)*4
t5 = -27 + 4*4
t5 = - 11
<em><u>Recursive</u></em>
tn = tn - 1 + 4
Ten
<em><u>Common difference</u></em>
t4 - t3
21 - 15
Common difference = 6
t2 = 33 - 6
t2 = 27
<em><u>Explicit formula</u></em>
tn = a + (n - 1)*d
tn = 33 + (n - 1)*6
<em><u>Recursive Formula</u></em>
tn = tn-1 + 6
There are too many answers between the 2 questions that the exact format can be followed and have it make sense. You are better off following each question and writing down the answers as you come to them.