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mr_godi [17]
2 years ago
8

Francis's rectangular lawn has a length of 2x + 1 feet and a width of x + 1 feet. She plants a square garden with a side length

of x + 2 feet
in the lawn. What is the area of the lawn not covered by the garden?
Mathematics
2 answers:
pshichka [43]2 years ago
5 0

Answer:x^2-x-3

Step-by-step explanation:

step 1-find area of rectangular lawn

(2x+1)(x+1)=2x^2+3x+1

step 2-find area of garden

(x+2)(x+2)=x^2+4x+4

step 3- subtract the two

=x^2-x-3

stepladder [879]2 years ago
4 0

Answer:What is the slope of the line through (-5,-10)(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and (-1,5)(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?

Step-by-step explanation:

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alina1380 [7]
The first one is 4
Second is 5/9
Third is 1/2
Fourth is 11
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2 years ago
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The angles shown below are supplementary: A pair of supplementary angles is shown. One angle measures 10x and the other angle me
Rashid [163]
It is 12 because there are 180 degrees in a set of supplementary angles and 12 times 10 equals 120, plus 60 equals 180.
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3 years ago
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A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of
daser333 [38]

Options were missing in the question;

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.

24 square inches

31 square inches

47 square inches

52 square inches

Answer:

24 square inches

Step-by-step explanation:

Given:

Diameter = 3 in

So we can say that;

Radius is half of diameter.

radius (r) = \frac{3}{2}=1.5\ in

Slant height (l) = 5 in

We need to find how many square inches of paper do you need to make a cup.

Solution:

Now according to question we required to find the amount of paper used to make cup.

Also Water cup is shaped liked cone.

Hence we can say that the base of cone is not covered since it will remain open.

So we will use Lateral surface area of the cone to find the paper requirement.

Now we know that;

Lateral surface area of cone is equal to π times radius times slant height.

framing in equation form we get;

A_L = \pi rl=3.14\times1.5\times5 = 23.55 in^2 \approx 24\ in^2

Hence We can say that 24 square inches of paper will be needed to make the cup.

5 0
3 years ago
Subtract 8+7i from 4-16i​
White raven [17]

Answer:

-4 -23i

Step-by-step explanation:

(4-16i) - (8+7i)

Distribute the minus sign

4-16i -8-7i

Combine like terms

4-8   -16i -7i

-4 -23i

8 0
3 years ago
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Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what
hram777 [196]

<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Learn more about area

brainly.com/question/27683633

#SPJ4

6 0
1 year ago
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