asked 56.6k views
2 votes
What are the solutions of the following equation? 2 ∣ � + 10 ∣ + 12 = − 3 ∣ � + 10 ∣ + 62 2∣x+10∣+12=−3∣x+10∣+622, vertical bar, x, plus, 10, vertical bar, plus, 12, equals, minus, 3, vertical bar, x, plus, 10, vertical bar, plus, 62 Choose 1 answer: Choose 1 answer: (Choice A) � = 0 x=0x, equals, 0 or � = 20 x=20x, equals, 20 A � = 0 x=0x, equals, 0 or � = 20 x=20x, equals, 20 (Choice B) � = 0 x=0x, equals, 0 or � = − 20 x=−20x, equals, minus, 20 B � = 0 x=0x, equals, 0 or � = − 20 x=−20x, equals, minus, 20 (Choice C) � = 20 x=20x, equals, 20 or � = − 20 x=−20x, equals, minus, 20 C � = 20 x=20x, equals, 20 or � = − 20 x=−20x, equals, minus, 20 (Choice D) Only � = 0 x=0x, equals, 0 D Only � = 0 x=0x, equals, 0 (Choice E) There are no solutions E There are no solutions

2 Answers

6 votes
To solve the equation, we can start by simplifying both sides:

2∣x+10∣+12=−3∣x+10∣+62

First, we can subtract 12 from both sides:

2∣x+10∣=−3∣x+10∣+50

Next, we can add 3∣x+10∣ to both sides:

5∣x+10∣=50

Now we can divide both sides by 5:

∣x+10∣=10

Since the absolute value of a number is always non-negative, we can split the equation into two cases:

Case 1: x+10=10
In this case, we subtract 10 from both sides:
x=0

Case 2: x+10=-10
In this case, we subtract 10 from both sides:
x=-20

Therefore, the solutions to the equation are x=0 or x=-20.

The correct answer is (Choice C) x=0 or x=-20.
answered
User Jrutter
by
8.1k points
0 votes
Hello! I could help.



Answer: photosynthesis and cellular respiration are often described in two ways 1 they are chemicly oppisite and 2 they have a relation ship to each other . explain what these two staments mean. when an object hits another it bounces in a different direction and if a thing is just sitting still and a moving object hits it...the moving object has a different magnitude than the object that's not moving On solving the provided question, we can say that - area of the give trapezoid is A = bh = (13 ft)(4 ft) =
what is Trapezoid?
A trapezoid is a quadrilateral that has at least one set of parallel sides. It is known as Trapezium . In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The trapezoid's base is defined as its parallel sides. Each of the bases—top and bottom—is parallel to the other. A flat, closed form with four straight sides and two parallel sides is referred to as a trapezoid. The legs and the parallel sides of the trapezoid are referred to as the base and the parallel sides, respectively.
The width is equal to the sum of the base lengths when two trapezoids are united to form a parallelogram, but the height stays the same (4 feet).

area - A = bh = (13 ft)(4 ft) =
answered
User William Oliver
by
9.1k points