12.
50/3
14.
60/11
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32
The absolute value takes the distance from zero, it doesn’t matter weather it is positive or negatively
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
7-(p+t) = 9(85-n) = 7(4+y)
Algebra is a kind of mathematics that includes symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables.
An algebra expression contain coefficient variable and a constant
We apply various methods to solve those question
An algebra expression is also called an equation
let the number be x
Seven less than the of p and t
= 7-(p+t)…….(1)
Nine times a number y subtracted from 85
= 9(85-n)…..(2)
Seven times the sum of four and y
= 7(4+y)……(3)
Combining equations (1), (2) and (3) according to the question :
7-(p+t) = 9(85-n) = 7(4+y)
Learn about algebra here :
brainly.com/question/2972832
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Answer:
16
Step-by-step explanation:
12 - 3 = 9
9 + 7 = 16
