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Naddik [55]
3 years ago
7

Find the equation and check answer of (−8x=−2x−8)​

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

x = 4/3

Step-by-step explanation:

  1. you need to move -8x to the right side.
  2. 0=6x-8
  3. then, you need to move -8 to the left side.
  4. 8=6x
  5. you can get answer!
  6. x = 4/3

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What method would you choose to solve the equation 2x^2-7=9
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Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
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Students at Jefferson Elementary School made $3,045 selling 210 equally priced boxes of candy. Which is the best estimate for th
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The coordinates of the vertices of a regular polygon are given. Find the area of the polygon to the nearest tenth.
alexandr1967 [171]

Answer:

The area is equal to 8\ units^{2}

Step-by-step explanation:

we have

A(0, 0), B(2, -2), C(0, -4), D(-2, -2)

Plot the figure

The figure is a square (remember that a regular polygon has equal sides and equal internal angles)

see the attached figure

The area of the square is

A=AB^{2}

<u><em>Find the distance AB</em></u>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

AB=\sqrt{(-2-0)^{2}+(2-0)^{2}}

AB=\sqrt{(-2)^{2}+(2)^{2}}

AB=\sqrt{8}

AB=2\sqrt{2}\ units

<u><em>Find the area of the square</em></u>

A=(2\sqrt{2})^{2}

A=8\ units^{2}

4 0
3 years ago
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