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3 years ago

What is the rule for calculating |x| for any value of x?

Mathematics

1 answer:

padilas [110]3 years ago

6 0

Anything with || around it is a whole value. It’s always a positive. For example, |-56|=56. Now, if the negative was on the outside, it would be a negative like so; -|10| =-10

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A small explanation would be really appreciated

shutvik [7]

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles

Topic: angle properties

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

7 0

3 years ago

Which of these is equal to ⅔ × ¾ × ⅗?

Sphinxa [80]

Answer:

3/10

Step-by-step explanation:

Just multiply all of the numerators (top numbers) and then multiple all of the denominators (bottom numbers)

2/3x3/4x3/5 would be 18/60 Then take any number that is a factor to both 18 and 60 and divide both numbers by that factor. I could use 2 or 3 or 6 because both 18 and 60 is divisible by any of these numbers. I will choose 3. I will divide the top and bottom of 18/60 by 3 to get 6/20, now I will divide the top and bottom of that number by 2 to get 3/10

7 0

2 years ago

Read 2 more answers

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

4 0

2 years ago

What is the measure of angle ABC

sertanlavr [38]

3x+25=90
-25=-25

3x=65
x=26.6666666666666666666666

I hope this helps!

7 0

3 years ago

1.64 as a fraction in simplest form

mrs_skeptik [129]

<span>The correct answer is 1 16/25.

Explanation<span>:
This is read as "one and sixty-four one-hundredths." This means the fraction would be 1 64/100.

Both numerator and denominator are even, so we will divide both by 2 and get 1 32/50.

Again, both are even, so we divide by 2 again and get 1 16/25.</span></span>

4 0

3 years ago