All categories

3 years ago

Elliott states that he absolute value and opposite of a number are the same thing. Is Elliott correct? Explain.

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The absolute value of a number is the distance from 0. Distance is always positive, so the absolute value of a number is that number but positive. Thus, the absolute value of |2| is still 2. However, the opposite of a number is that number on the opposite side of 0. Therefore, the opposite of 2 is -2. To find the opposite of a number just flip the sign.

So, these are different because the absolute value is always positive while the opposite can be either sign.

Lady_Fox [76]3 years ago

6 0

Answer:

Elliot is incorrect

Step-by-step explanation:

Let's take an example: 2

Absolute value of 2 = |2| = 2

But the opposite of 2 = -(2) = -2

But 2 ≠ 2, so Elliott is incorrect.

The opposite of a number changes the sign from - to +, or + to -. Absolute value changes the sign of a number from - to + and keeps + as +.

-Chetan K

You might be interested in

For the triangles to be similar by the sss similarity theorem what must be the value of y 18 20 24 26

Ludmilka [50]

Answer:

Step-by-step explanation:

The picture of the question in the attached figure

we know that

If the figures are similar by SSS Similarity Theorem, then the ratio of its corresponding sides must be proportional

$\frac{PQ}{AB}=\frac{PR}{AC}$

substitute the given values

$\frac{y}{10}=\frac{28}{14}$

solve for y

$y=10(2)\\y=20\ units$

5 0

3 years ago

C) 970 thousands<br>ans:

Varvara68 [4.7K]

Answer:

970 000

970×1000(thousands)

970 000

3 0

3 years ago

Which statement about this triangle is true?

Semmy [17]

Answer:

I'm not sure but I believe it is than 0=4/5

5 0

3 years ago

How do I even start?!

OlgaM077 [116]

For #1 you know that a straight line equalys 180 degrees so the look at the 3× degrees. 180-84 =96 /3= 32 degrees . x = 32

8 0

3 years ago

Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

6 0

3 years ago

Elliott states that he absolute value and opposite of a number are the same thing. Is Elliott correct? Explain. ​

Elliott states that he absolute value and opposite of a number are the same thing. Is Elliott correct? Explain.