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:
73 and 113 / 144 ft^2
Step-by-step explanation:
Lets convert everything into pure feet.
10ft 5in = 10 and 5/12 feet = 125/12 feet
14ft 2in = 14 and 1/6 feet = 85/6
Now lets calculate area:
1/2 * 125/12 * 85/6 = 125*85 / 144 = 73 and 113/144
Answer:
the awnser is 45
Step-by-step explanation:
i just took this test on masery connect
Answer:
Step-by-step explanation:
Given:
The expression to expand is given as:
Let us expand the first two binomials of the given expression using FOIL method.
The FOIL method states that:
Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:
Therefore, the equivalent expression after expanding is given as:
Answer:
∠1 only
Step-by-step explanation:
Complementary angles:
- sum to 90°
- form a right angle
The only angle (that's an answer choice) that helps form a right angle with angle 2 is angle 1, thus making it the correct answer.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren ⚘
