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MAVERICK [17]
3 years ago
15

You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that

is 4.8 feet by 8.2 feet. Which rug will cover the greater my area? Explain
Mathematics
1 answer:
Dmitry [639]3 years ago
8 0
-----------------------------------------------------------------
Square Rug
-----------------------------------------------------------------
Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²

-----------------------------------------------------------------
Rectangle Rug
-----------------------------------------------------------------
Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²


39.69 ft²  is bigger than 29.36 ft², so the square rug is bigger.

-----------------------------------------------------------------
Ans: The Square Rug covers a greater area
-----------------------------------------------------------------
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Identify an equation in slope-intercept form for the line parallel to y = 5x + 2
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Answer:

D. y = 5x + 29

Step-by-step explanation:

To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.

The equation of a line is y=mx + b.

x and y are the coordinates of any point on a line.

m is the slope.

b is the y-intercept.

Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.

m = 5

Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.

Substitute the known information into the equation and isolate b.

y = mx + b

-1 = 5(-6) + b  <=Simplify by solving 5 X -6

-1 = -30 + b

-1 + 30 = -30 + 30 + b  <= Add 30 to both sides to isolate b

29 = b

b = 29  <= Standard formatting puts the variable on the left side

Put the m and b values into the equation of a line to solve:

y = mx + b

y = 5x + 29

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