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horsena [70]
3 years ago
13

30 Points. Solve the given equation and show your work. Tell whether the equation has one solution, an infinite number of soluti

ons, or no solution.
2x + 4(x - 1) = 2 +4x
Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

First distribute

2x + 4x - 4 = 2 + 4x

combine like terms

6x - 4 = 2 + 4x

continue

2x - 4 = 2

add 4 to both sides

2x = 6

divide both sides by 2

x = 3

Nastasia [14]3 years ago
7 0
2x+4(x-1)=2+4x.

Distribute the 4 into (x-1).

2x+4x-4=2+4x

Now add x’s

6x-4=2+4x

Solve for x.
(Move x to same side)

6x-4x-4=2+4x-4x.
Then do the same with -4.
2x-4+4=2+4.

2x=6

Divide 2 by both sides: 6/2

Your answer will be once divided : 3




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HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
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Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

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