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2 years ago

Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

1 answer:

3 0

And represents the distance between a and 0 on a number line. Has two solutions x = a and x = -a because both numbers are at the distance a from 0. This holds true for all absolute value inequalities. ... Because by definition, the absolute value of a number is its distance from 0 on a number line which means that there are two such numbers: a positive/negative number

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Need help with this question

Degger [83]

It is a 100 degrees vertical angles are congruent

6 0

2 years ago

Read 2 more answers

Please help!

loris [4]

m∠B = 33° is the answer.

Step-by-step explanation:

If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

8 0

3 years ago

HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS

Talja [164]

Answer:

Do u have English version?

Step-by-step explanation:

6 0

2 years ago

You can buy DVDs at a local store for 15.59 each. You can buy them at on online store for 13.99 each plus $6 shipping. How many

dalvyx [7]

Local(L) = 1 x (15.99)
Online(O) = (1 x 13.99) + 6

So use that equation until you find the same number.

L1=15.99
O1=19.99

L2=31.98
O2=33.98

L3=47.97
O3=47.97

And your answer will be three from local and three from online.

8 0

2 years ago

Find the vertex of this parabola. y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

3 0

2 years ago