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3 years ago

What is the answer to 6x–2x+8=20

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

First, simplify by subtracting 2x from 6x:

6x - 2x + 8 = 20

4x + 8 = 20

Then, solve for x:

4x + 8 = 20

4x = 12

x = 3

So, the answer is x = 3

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2. A canoe travels 3 kilometers in

Dmitry_Shevchenko [17]

The average speed of the canoe is 5 1/4 in kilometers per hour

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3 years ago

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

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3 years ago

What must be done to the wires used to make an electromagnet before they connect

CaHeK987 [17]

Step-by-step explanation:

To create a simple electromagnet, you'll need a source of electricity, a conductor, and metal. Wrap insulated copper wire tightly around an iron screw or nail before connecting the wire to a battery, and watch as your new electromagnet picks up small metal objects.

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3 years ago

Read 2 more answers

Please help! I will mark you as brainliest!

matrenka [14]

Answer:

3.5 hours traveling

2.5 hours stationary

Step-by-step explanation:

When the line is horizontal, the distance isn't changing, so she is stationary, so just add the total time the line is horizontal.

Likewise, all other lines represent traveling.

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