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Mnenie [13.5K]
3 years ago
8

8 + |x -2| = 8|x + 1| +5 = 24|x - 3|= -163|x +10| = 0

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0
<h3>Given</h3>

(a) 8 + |x -2| = 8

(b) |x + 1| +5 = 2

(c) 4|x - 3|= -16

(d) 3|x +10| = 0

<h3>Find</h3>

x

<h3>Solution</h3>

(a) |x -2| = 0 . . . . . subtract 8

... x -2 = 0 . . . . . . . only one solution, because -0 = 0

... x = 2

(b) |x +1| = -3 . . . . subtract 5. No solution. (an absolute value cannot be negative)

(c) No solution. (see (b))

(d) |x +10| = 0 . . . . divide by 3

... x +10 = 0 . . . . . . one solution. (see (a))

... x = -10

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6. Which property is illustrated by the equation<br> ma + mb = m(a + b)?<br> what’s the answer
BigorU [14]

Step-by-step explanation:

It's the <em>DISTRIBUTIVE PROPERTY</em>:

m(a + b) = ma + mb

m\cdot(a+b)=m\cdot a+m\cdot b=ma+mb

Other properties:

Commutative Property:

<em>of addition: a + b = b + a</em>

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8 0
3 years ago
Solve for x: x^2 + 14x + 49
Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49ײ

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0
3 years ago
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