B posulate 1a <span> a plane contains at least three points not all on one line .</span>
6 feet
20/15= 1.3 8/1.3=6.1 round to the nearest tenth and BOOM 6 feet
Answer:
Let's name each of the three sections of the rocket as:
-
payload and navigation
-
fuel
-
engine
Now, we are told that:
The top section is one-sixth the length of the bottom section:
(1)
The middle section is one-half the length of the bottom section:
(2)
The total length is 240ft:
(3)
We may begin by substiting (1) and (2) in equation (3), in order to find the value of the engine section :
(4)>>>> Value of the engine section length
Then, we substitute this value of in equations (1) and (2):
(5)>>>> Value of the payload and navigation section length
(6)>>>> Value of the fuel section length
I think it would be 12. just use the Pythagorean theorem
5^2+b^2=13^2
25+b^2=169 Now we subtract 25 on both sides
b^2=144 now we do the square root of 169
B=12
Answer: given and explained briefly below.
In these questions, we go right to left of the function to solve.
(a)
given that
f(x) = x - 3
g(x) = x + 3
(i) fg(x)
= f(x + 3)
= ( x +3 ) -3
= x
(ii) gf(x)
= g(x-3)
= (x-3)+3
= x
to find inverse, we have to make x the subject,
1)
f(x) = x - 3
f(x) + 3 =x
f^-1(x) = x + 3
2)
g(x) = x + 3
g(x) -3 = x
g^-1(x) = x -3
- f and g are inverses of each other
(b)
given that
f(x) = -1/4x
g(x) = 1/4x
fg(x) =
f(1/4x)
1/4(-1/4x)
= x
2)
gf(x)
g(-1/4x)
-1/4(1/4x)
= -x
<u>to find inverse, we have to make x the subject,</u>
1)
f(x) = -1/4x
-1/f(x) = 4x
f^-1(x) = -1/4x
2)
g(x) = 1/4x
x = 1/4g(x)
g^-1(x) = 1/4x
- f and g are not inverses of each other here.
