A rectangle has length 4 inches and width 2 inches. If the length and width of the rectangle are each reduced by 50 percent, by
1 answer:
Answer: 25%
Step-by-step explanation:
Given: A rectangle has length 4 inches and width 2 inches.
Area = Length x width
= 4 inches x 2 inches
= 8 square inches
If length is reduced by 50% , then length
If width is reduced by 50% , then length
Reduced area = (reduced length) x (reduced width)
= 2 inches x 1 inch
= 2 square inches
The percentage of the area of the rectangle be reduced :-
Hence, the percent of the area of the rectangle be reduced = 25%
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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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To find y, divide the first equation by 2.
y = 4
To find x, use that value for y in the second equation. Add 4, then divide by 2.
15·4 = 2x -4
60 +4 = 2x
64/2 = x = 32
The solution is (x, y) = (32, 4).
y = 4
To find x, use that value for y in the second equation. Add 4, then divide by 2.
15·4 = 2x -4
60 +4 = 2x
64/2 = x = 32
The solution is (x, y) = (32, 4).