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3 years ago

Solve |2x – 3| = 11. Show each step of your work.

Mathematics

1 answer:

Klio2033 [76]3 years ago

8 0

Answer:

x =7 or x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11 or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3 2x-3+3 = -11+3

2x = 14 2x = -8

Divide each side by 2

2x/2 =14/2 2x/2 = -8/2

x =7 x = -4

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Can someone find the perimeter of this shape? ill give brainliest if ur right

Luda [366]

Answer:

Step-by-step explanation:

Add up all the sides to fid the perimeter. 6+6+8+4=24

8 0

2 years ago

A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10

boyakko [2]

Answer:

$960.42\text{ ft}^2$

Step-by-step explanation:

Please find the attachment.

We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.

To find the area of community pool we will use area of pentagon formula.

$\text{Area of pentagon}=\frac{1}{2}a*p$ , where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

$\text{Perimeter of community pool}=5\times 23.62$

$\text{Perimeter of community pool}=118.1$

Now let us find apothem of our pentagon by using Pythagoras theorem.

$a^2=20.10^2-11.81^2$

$a^2=404.01-139.4761$

$a^2=264.5339$

$a=\sqrt{264.5339}$

$a=16.2645$

Upon substituting our given values in above formula we will get,

$\text{Area of community pool}=\frac{1}{2}\times 16.2645\times 118.1$

$\text{Area of community pool}=8.13224907\times 118.1$

$\text{Area of community pool}=960.418615627971\approx 960.42$

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

3 0

3 years ago

Read 2 more answers

5) Dan and Joan were able to clean the attic in 7 hours together, It takes

Contact [7]

Answer:

9 hours im not really good at this but i hope i did my best ^.^ :)

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2 years ago

What is 128 fl oz converted to ??? Pint

myrzilka [38]

1 oz=<span>0.12503671065 cup or about 0.13 cups

2 cups is 1 pint
1 oz=0.13/2=0.065

so 128 oz=
128 times 0.065=8.32 pints
</span>

5 0

3 years ago

Express each ratio as a fraction in simplest form: <br><br> 0.3 km to 500 m

deff fn [24]

0.3km=300m
300m:500m
(/100)
3:5
3+5=8
0.3km= 3/8
500m= 5/8

5 0

3 years ago

Read 2 more answers