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Leni [432]
3 years ago
15

1. Solve the absolute value equation, if possible.  If there is no solution, explain why.

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0
Every absolute value MUST be 0 or greater (positive); thus, <span>| 5x + 13| = -7 has no solution due to the - number on the right.

</span>
Ilya [14]3 years ago
5 0
An absolute value of any real number is never negative.

The number on the right side, -7, is a negative number.

As I just stated, the absolute value can never be negative.

Since -7 is a negative number, there is no solution to this equation.

Have an awesome day! :)
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Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.
Assoli18 [71]

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

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Lynna [10]

Answer:

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What relationship is formed by a line of symmetry and the line between opposite points in the symmetry
Anettt [7]

Answer:

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Explanation:

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Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.

The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.

For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).

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