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3 years ago

Is the opposite of a rational number also a rational? Explain. Please do not use google to answer.

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

7 0

opposite means the sign changes (from positive to negative or vice versa)

since a rational number includes both positives and negatives, then the opposite of a rational is also a rational.

For example: $\frac{3}{5}$ is a rational number. Its opposite is $-\frac{3}{5}$ , which is also a rational number.

Hope this helped!

Answer: YES

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The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.

I am Lyosha [343]

Answer:

w = $\frac{p -2l}{2}$

Step-by-step explanation:

p = 2l + 2w Subtract 2l from both sides of the equation

p - 2l = 2p Divide both sides by 2

$\frac{p -2l}{2}$ = w

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2 years ago

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu

inn [45]

Answer:

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Step-by-step explanation:

The given expression is

$\frac{2x+5}{x^{2} -3x} -\frac{3x+5}{x^{3} -9x} -\frac{x+1}{x^{2}-9}$

First, we need to factor each denominator

$\frac{2x+5}{x(x-3)} -\frac{3x+5}{x(x+3)(x-3)} -\frac{x+1}{(x-3)(x+3)}$

So, the least common factor (LCF) is $x(x-3)(x+3)$ , because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

$\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}$

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Therefore, the expression is equivalent to

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

8 0

3 years ago

Read 2 more answers

Many insects migrate (travel) between their summer and winter homes. The desert locust migrates about 800 miles farther than the

Harman [31]

Answer:

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust = 2800

Distance travelled by pink-spotted hawk moth= 7800 miles

Step-by-step explanation:

Let the distance travelled by Monarch butterfly be "X" miles

Distance travelled by desert locust is equal to X + 800 miles

Distance travelled by pink-spotted hawk moth is equal to 4X -200 miles

The total distance travelled by the three is equal to 12600 miles

$X + X + 800 + 4X -200 = 12600\\6X = 12600 -600\\6X = 12000\\X = 2000$

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust = 2000 + 800 = 2800

Distance travelled by pink-spotted hawk moth = 4 * 2000 -200 = 7800 miles

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3 years ago

X - 7 > -- 6<br> A.) X -13<br> C.) X 1

xxTIMURxx [149]

Answer:

what is the question what are you trying to say?

8 0

3 years ago

When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she

kodGreya [7K]

Answer:

Step-by-step explanation:

The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.

Let's look at the lowest common multiples of 2, 3, 4, 6:

Prime factorisation:

2 = 2

3 = 3

4 = 2 * 2

6 = 2 * 3

therefore, the lowest common multiple is 2 * 2 * 3 = 12

Let's look at the answers that this would give us (ie multiples of 12):

12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5

12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either

12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)

therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)

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3 years ago