According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈ 
(1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈ (2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
To learn more on translations: brainly.com/question/17485121
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Answer:
or
Step-by-step explanation:
we know that
The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building
so
That means
15 cm in the drawing represent 37.5 ft in the actual
Remember that
Convert 15 cm to ft
divide by 30.48
substitute
or
That means
1.31 units in the drawing represent 100 units in the actual
2200 + 21.25X = 1840 +32.50X
subtract 1840 from each side
360+ 21.25X= 32.50X
subtract 21.25x from each side
360=11.25X
x= 360/11.25 = 32 minutes pool will have the same amount
21.25*32 = 680+2200 = 2880 liters
32.5*32 = 1040 + 1840=2880 liters
it will take 32 minutes and they will have 2880 liters each
The movie should be 2 hours and 15 minutes long.
Answer:
He has to dip it 5 times
Step-by-step explanation:
each time he dips it, he gets 1 1/2, or 1.5 gallons. how many times can you add 1.5 to 6 1/2, or 6.5. It is 4 1/3 times, but since you can't dip the bucket 1/3 of a time, it is counted as 1, so 5
