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3 years ago

Using a complete sentence, describe the slopes of a set of parallel lines.

Mathematics

1 answer:

allsm [11]3 years ago

6 0

Answer:

In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

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What is the difference?

Serhud [2]

Answer:

The option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

The difference of the given expression is

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

Step-by-step explanation:

Given expression is $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

To find the difference of the given expression as below :

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

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

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

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

( using the formula $a^2-b^2=(a+b)(a-b)$ )

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

$=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}$ (adding the like terms)

$=\frac{x^2+7x+10}{x(x^2-9)}$ ( by factoring the quadratic polynomial )

$=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore the difference of the given expression is

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

Therefore option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

8 0

3 years ago

Hi! Can anyone with knowledge on writing Geometry proofs help me? I need assistance with answering this question with a two colu

Neporo4naja [7]

We will prove first that PRQ≡PSQ
We need 3 attributes from the each triangle:
QS=QR
PR=PS
PQ=PQ

from PRQ≡PSQ => angles RPQ and SPQ are equal

Let if be O=RS∩PQ

We will prove that triangles RPO≡SPO
We need 3 attributes from the each triangle:
RP=PS
PO=PO
angles RPQ and SPQ are equal

results that angles RPO and SPO are equal(Let's note them with x)
We also know that (as angles) POS≡ROS and POR≡SOQ as opposite angles

We now have than 4x=360 wich means x=90. And we proved the desired result.
You just need to put this explanation into the table. (most if the 3 attributes for each triangle)

3 0

3 years ago

1000 times 100 in exponent

vampirchik [111]

Answer: 2^5 · 5^5

Hope it helps

7 0

4 years ago

Determine if the following relation represents a function or not.

artcher [175]

Answer:

It is a function.

Step-by-step explanation:

Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.

{(2,3), (4,3), (6,3), (5,9), (3,9)}

There are no repeating x-values given.

The relation should be a function.

Hope this helps.

6 0

3 years ago

Andrew pays $15 for a haircut . He leaves a 20% tip. What is the total amount andrew pays for the haircut, including the tip?

beks73 [17]

Answer:

$18.00

Step-by-step explanation:

Start by working out 10%, that's easy:

15 ÷ 10 = 1.5

That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:

1.50 x 2 = 3

A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00

7 0

3 years ago