Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
Absolute value of x minus 6 is less than y
one way is to jsut make all the x's positive, then subtract them from 6 and see if they are less
sorry for confusing, just read below
(-5,1)
1>|-5|-6
1>5-6
1>-1
true
(-1,-5)
-5>|-1|-6
-5>1-6
-5>-5
false
(5,-1)
-1>|5|-6
-1>-1
false
answer is (-5,1)
Answer:
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Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The distance or the length between two points can be computed using the formula:
X₁ = x-coordinate of first point
X₂ = x-coordinate of the second point
Y₁ = y-coordinate of first point
Y₂ = y-coordinate of the second point
When we right down the coordinates of a point, we always start with the X and then the Y.
(X,Y)
You have the following coordinates or points
Point 1: (-3,4)
Point 2: (5,4)
Based on that we have the following given:
X₁ = -3
X₂ = 5
Y₁ = 4
Y₂ = 4
Now we just fill in the formula:
Answer:
To make the cup 64.57 square inches of plastic were used.
Step-by-step explanation:
A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:
area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches
area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches
surface area of the cup = area of the base + area of the walls = 9.616 + 54.95
surface area of the cup = 64.57 square inches
To make the cup 64.57 square inches of plastic were used.
