27)
Equation of the existing water pipe's line
a) slope, m = rise / run = Δy / Δx = 3/2
b) y-intercept, b = 3
equation: y = mx + b = (3/2)x + 3
Equation of the new water pipe's line
slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3
point (0,2)
=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe
28)
two parallel lines have the same slope =>
slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3
point (4,5) => y - 5 = (4/3) (x - 4)
=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3
y = (4/3)x - 1/3 <--- equation of the new bike path
2 because 1+1=2 and that’s why
Answer:
a) 12x - 48 or 6(2x - 8)
b) 18x - 48 or 6(3x - 8)
Step-by-step explanation:
A small box holds 6 eggs
A large box holds 12 eggs.
Hina buys x small box of eggs
Hina also buys (x-4) large box of eggs
a) Total number of eggs in the large box by Hina = (x-4)12
= 12x - 48
= 6(2x - 8)
b) Total number of eggs bought by Hina = (x) 6 + (x-4)12
= 6x + 12x - 48
= 18x - 48
= 6(3x - 8)
It is arithmetic.
It starts at - 5,
the next item is 0 then 5 and next is 15 ...
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It isn't geometric. You are not multiplying by 5
The second term must be and not- 5 * 5 = - 25
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A Fibonacci series adds the previous two terms together to get the next term
Usually it starts at 0, but it doesn't need to.
0,1,1,2,3,5,8,13,21,34 ....
