The equation of the translation is y = sin(x - π/4)
<h3>How to determine the translation?</h3>
The equation is given as:
y = sin(x)
The rule of translation to the right is:
(x,y) => (x - h,y)
This gives
(x,y) => (x - π/4,y)
So, we have:
y = sin(x - π/4)
Hence, the equation of the translation is y = sin(x - π/4)
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Answer:
x = 6 and x = 9
Step-by-step explanation:
16
MN is half the length of KL
MN = × 12 = 6
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17
Δ LMN and Δ LJK are similar triangles, so the ratios of corresponding sides are equal, that is
= , substitute values
= = ( cross- multiply )
2x = x + 9 ( subtract x from both sides )
x = 9
Constant of proportionality?
I can find the rate of change
ok, so find first hose rate of change
gallons/minue=318/58=159gal/29min
y=159/29x for first hose
2nd hose
50% faster
times 3/2
477/58=2nd hose
constant of poroprotinality
y=kx
assuming y=amount and x is the time
add the rates
159/29+477/58=795/58=13.7
so the new one would be
y=13.7x
constant is 13.7
C
A calculator can be helpful with arithmetic.
The value is 5/187 ≈ 0.0267379679