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bekas [8.4K]
3 years ago
12

What is the slope of (-5,-1) (5,5)? Explain.

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer:

Slope = 3/5

Step-by-step explanation:

Slope = change in y /change in x

That’s y2 - y1 /x2 - x1

Given

x1 = -5

y1 = -1

x2 = 5

y2 = 5

Slope = 5-(-1) /5 -(-5)

Negative negative gives positive

= 5 +1 /5 + 5

= 6/10

Divide by two

= 3/5

ArbitrLikvidat [17]3 years ago
3 0

Step-by-step explanation:

slope =   \frac{ - 1 - 5}{ - 5 - 5}  = \frac{ - 6}{ - 10}   = \frac{ 3}{ 5} \\

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If two lines are parallel, corresponding angles are _________.
jolli1 [7]
B. congruent, im pretty sure
6 0
3 years ago
Read 2 more answers
Polynomial expressions with matching​
yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0
3 years ago
The teacher said estimate this with out counting 1 by 1 then divide it by 20 HELP PLEASSEE
WARRIOR [948]
Well, first fin dyour best estimate mine is...600
Then after you got your best estimate divide that my 20
600/20 = 30 
Hope this helped :D
7 0
3 years ago
If 5k = -25, then 5k - 1 = -25 - 1<br> Segment proof
Pavlova-9 [17]
Yeah cuz u could +1 to each side of the second equation to get rid of both the -1’s and that is equivalent to the first equation :)
6 0
3 years ago
Hiya answer this plz
chubhunter [2.5K]
Yep, the answer is definitely 13
6 0
2 years ago
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