Step-by-step explanation:
Let us consider the length of a line segment to be 'x'
Let the other line segment be 'y'
One line segment is 12 less than twice the length of other segment.
X = 2y - 12
The sum of both the lengths = 69cm
X + Y = 69
X = 69 - Y
Substitute the X value in the first equation
X = 2y - 12
69 - Y = 2Y - 12
- Y - 2Y = -12 -69
- 3Y = - 81
3Y = 81
Y = 81/3
Y = 27 CM
Length of One of the line segment is 27cm
The length of the other line segment 'x'
is
X= 2y - 12
X = 2(27) - 12
X = 54 - 12
X = 42cm
The length of the line segments are 42cm and 27cm.
a.
![\purple{5 \times 6 - 4 \times ( - 3)}](https://tex.z-dn.net/?f=%20%5Cpurple%7B5%20%5Ctimes%206%20-%204%20%5Ctimes%20%28%20-%203%29%7D)
![= 30 + 12](https://tex.z-dn.net/?f=%20%3D%2030%20%2B%2012)
![\blue{ = \boxed{42}}](https://tex.z-dn.net/?f=%20%5Cblue%7B%20%3D%20%20%5Cboxed%7B42%7D%7D)
b.
![\purple{ {6}^{2} + \frac{6}{ - 3} }](https://tex.z-dn.net/?f=%20%5Cpurple%7B%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7B6%7D%7B%20-%203%7D%20%7D)
![= 36 - 2](https://tex.z-dn.net/?f=%20%3D%2036%20-%202)
![\blue{ = \boxed{34}}](https://tex.z-dn.net/?f=%20%5Cblue%7B%20%3D%20%20%5Cboxed%7B34%7D%7D)
c.
![\purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }](https://tex.z-dn.net/?f=%20%5Cpurple%7B%286%20-%205%20%7B%29%7D%5E%7B3%7D%20%20%2B%20%20%7B%28%20-%203%29%7D%5E%7B2%7D%20%7D)
![= {1}^{3} + 9](https://tex.z-dn.net/?f=%20%3D%20%20%7B1%7D%5E%7B3%7D%20%2B%209)
![= 1 + 9](https://tex.z-dn.net/?f=%20%3D%201%20%2B%209)
![\blue{ = \boxed{10}}](https://tex.z-dn.net/?f=%20%5Cblue%7B%20%3D%20%20%5Cboxed%7B10%7D%7D)
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Hope it helps
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Answer:
1,887,436,800
Step-by-step explanation:
f(t) = a·b^t
f (t) = number of cases at year t
a = starting value = 1800 in 1983
b = growth factor = 2
t = years since 1983 = 2003 - 1983 = 20
f(t) = 1800·(2)^20 =
1,887,436,800
wyzant
philip p