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3 years ago

What are the solutions to the equation 5 = |x|? Choose all answers that are correct. A. -1/5 B. -5 C. 5 D. 1/5

Mathematics

1 answer:

frez [133]3 years ago

4 0

Answer:

B. -5

C. 5

Step-by-step explanation:

The absolute value means make it positive.

When solving an equation with an absolute value it means we have two solutions, a positive and a negative

|x| =5

x = 5 and x = -5

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This right triangle has one leg with a length of 45 units and a hypotenuse with a length of 75 units. What is the length of the

Nesterboy [21]

The length of other leg is 60 units.

Step-by-step explanation:

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Keywords: Pythagorean theorem, square root

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3 years ago

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3 years ago

What is the sum of the solutions of the equation 1.5x^2 - 2.5x -1.5 = 0? Round to the nearest hundredth.

BARSIC [14]

Answer:

$Sum = 1.67$

Step-by-step explanation:

Given:

$1.5x^2 - 2.5x -1.5 = 0$

Required

Determine the sum of the solutions

This question will be answered using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

Where:

$a = 1.5$

$b = -2.5$

$c = -1.5$

So, we have:

$x = \frac{-(-2.5)\±\sqrt{(-2.5)^2 - 4*1.5*-1.5}}{2*1.5}$

$x = \frac{2.5\±\sqrt{6.25 +9}}{3}$

$x = \frac{2.5\±\sqrt{15.25}}{3}$

$x = \frac{2.5\±3.91}{3}$

$x = \frac{2.5+3.91}{3}$ or $x = \frac{2.5-3.91}{3}$

The sum of the solution is then calculated as:

$Sum = \frac{2.5+3.91}{3} + \frac{2.5-3.91}{3}$

Take L.C.M

$Sum = \frac{2.5+3.91+2.5-3.91}{3}$

$Sum = \frac{5}{3}$

$Sum = 1.67$

5 0

3 years ago