Answer:
Length = 22cm
Step-by-step explanation:
Perimeter of a rectangle, P = 2(L + W)
Also, from the question, P = 80 cm
Therefore, P = 2(L +W) = 80
The length is 4 cm longer than the width
then, length, L = 4 + W
Slot in the value of L
2 {(4+W) + W} = 80
2(4 + 2W) = 80
8 + 4W = 80
Subtract 8 from both sides
8 - 8 +4W = 80 -8
4W = 72
Divide both sides by the coefficient of W which is 4
W = 18 cm
Recall,
L = 4 + W
L = 4 + 18
L = 22cm
The answer should be 1/9y^4
1.
f(x) = x
g(x) = x + 3
For each x value you use in f(x) and g(x), the corresponding y value in g(x) is always 3 more than in f(x). If each y-coordinate is 3 more, that means the graph is shifted 3 units up. The graph of f(x) is shifted 3 units up to create the graph of g(x).
2.
The first term is -0.5.
Then each term goes up by 0.25.
1st term: -0.5
2nd term: -0.5 + 0.25 = -0.5 + 0.25(1)
3rd term: -0.5 + 0.25 + 0.25 = -0.5 + 0.25(2)
4th term: -0.5 + 0.25 + 0.25 + 0.25 = -0.5 + 0.25(3)
nth term: -0.5 + 0.25(n - 1)
-0.5 + 0.25(n - 1) = -0.5 + 0.25n - 0.25 = -0.75 + 0.25n = 0.25n - 0.75
Answer is C.
The algebraic expression for the given word problem is 12/y + 7
<h3>Writing an expression</h3>
From the question, we are to write the algebraic expression for the given word problem
The given word problem is
"the quotient of 12 and a number y increased by 7"
First,
"the quotient of 12 and a number y" can be expressed as
12/y
Then,
"the quotient of 12 and a number y increased by 7" becomes
12/y + 7
Hence, the algebraic expression for the given word problem is 12/y + 7
Learn more on Writing an expression here: brainly.com/question/4541471
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