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VikaD [51]
3 years ago
11

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length lof the garden is 24 fe

et
longer than the width w of the garden, what is the area of the garden, in square feet?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

Answer: The width of the garden is 18 feet. The area of the garden is 432ft^2.

Step-by-step explanation:

84-24*2=36

36/2=18

18*24= 432

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In the expression 2a-5+4a-9, name the constants​
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Answer:

-5 and -9 are the constants, can also be written -14

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HELP ME WITH MATHHH!!!
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3 years ago
|x| + 4 > 7 plz help and hurry
Talja [164]

Answer:

The solution is (-\infty,-3)\cup(3,\infty).

Step-by-step explanation:

Given:

The inequality given is:

|x|+4>7

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

|x|+4-4>7-4\\\\|x|>3

Now, |x| is an absolute value function which is defined as:

|x|=\left \{ {{-x}\ \ x

Therefore, the given inequality can be rewritten as:

-x > 3\\x and x > 3

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4 0
3 years ago
B
VARVARA [1.3K]

Answer:

Hypothenus = 22

Step-by-step explanation:

From the question given above, we were told that the triangles are congruent (i.e same size). Thus,

AC = EF

BC = DE

To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:

For y:

AC = y + 3

EF = 2y + 1

AC = EF

y + 3 = 2y + 1

Collect like terms

3 – 1 = 2y – y

2 = y

y = 2

For x:

BC = 5x + 7

DE = 6x + 2y

y = 2

DE = 6x + 2(2)

DE = 6x + 4

BC = DE

5x + 7 = 6x + 4

Collect like terms

7 – 4 = 6x – 5x

3 = x

x = 3

Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:

Hypothenus = BC

Hypothenus = 5x + 7

x = 3

Hypothenus = 5x + 7

Hypothenus = 5(3) + 7

Hypothenus = 15 + 7

Hypothenus = 22

OR

Hypothenus = DE

DE = 6x + 2y

y = 2

x = 3

Hypothenus = 6(3) + 2(2)

Hypothenus = 18 + 4

Hypothenus = 22

5 0
3 years ago
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