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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Distance = 100 m = 100/1000 = 0.1 km speed of train = 50 km/hr speed of horse = 56 km/hr resultant speed = (56 – 50) 6 km/hr time = distance/speed time = 0.1/6 = 1/60 hr = 1 min
The answer is
C) -7
Multiply -5 by 2
Divide 8 by 4 :
3-10+2-2
Subtract 10 from 3 :
-7+2-2
Add -7 and 2 :
-5 - 2
Subtract 2 from -5:
-7
Answer:
19 - (6/5)j
Step-by-step explanation:
In this expression we have addition, subtraction and multiplication.
According to order of operations rules, mult. and div. must be carried out before add. or subt.
Therefore, we begin with 17+(-4), which becomes 17 - 4, or 13.
Next we see -4/5j, by which I assume you mean -4/5 * j.
Summarizing what we have so far:
13 - (4/5)j - 2/5j + 6
Combining the j terms, we get
13 - (6/5)j + 6, which collapses to 19 - (6/5)j.
Answer with Step-by-step explanation:
Let F be a field .Suppose 
and 
We have to prove that a has unique multiplicative inverse.
Suppose a has two inverses b and c
Then, 
where 1 =Multiplicative identity
(cancel a on both sides)
Hence, a has unique multiplicative inverse.
