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jeka57 [31]
2 years ago
14

2. Two rectangular lots are adjacent to each other, as shown in the diagram below. Using a function operation, determine how man

y times bigger the large lot is than the small lot. Clearly identify the individual component functions and simplified final equation. ​
Mathematics
1 answer:
Galina-37 [17]2 years ago
8 0

The large rectangle is 8/3 times bigger than the small rectangle.

<h3>How to explain the area?</h3>

Area of large rectangle will be:

= 4x(2x - 2)

= 8x² - 8x

Area of small rectangle will be:

= (3x - 3)x

= 3x² - 3x

The ratio will be:

= 8x² - 8x/3x² - 3x

= 8(x² - x)/3(x² - x)

= 8/3

The large rectangle is 8/3 times bigger than the small rectangle.

Learn more about rectangles on:

brainly.com/question/25292087

#SPJ1

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I need answers please.
Lena [83]

Answer:

1) 477.5

2) 395.8

3) 2042.0

4)132.7

5) 44.1

6) 437.9

Step-by-step explanation:

Surface area of a cylinder = 2(pi)(r)(h) + 2 (pi)(r)^2

Lateral area of a cylinder = 2 (pi)(r)(r)

7 0
3 years ago
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
Firdavs [7]

The length of an edge is the cubic root of the volume.

Cubic root 1.8 = 1.2 meters

5 0
2 years ago
Which pairs of polygons are similar? Select each correct answer. Two trapezoids. The trapezoid on the left has horizontal bases
balu736 [363]

Answer:

*thinking*

Step-by-step explanation:

Yea Ima need you to add a picture of the pairs then I should be able to help. Ill follow so ill see when you update

8 0
3 years ago
Read 2 more answers
Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
What is the value of the right rectangular prism
storchak [24]
Hello!

To find the area of a rectangular prism you do 2(lw + lh + wh)

Put in the values

2(9 * 2 + 9 * 6 + 2 * 6)

2(18 + 54 + 12)

2(84)

2 * 84 = 168

The answer is 168 cubic inches

Hope this helps!

6 0
3 years ago
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