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3 years ago

What is the slope of the line shown below ? (5,11) (-5,-1)

Mathematics

2 answers:

Zepler [3.9K]3 years ago

7 0

(5,11) (-5,-1)

Slope = (11 + 1) / (5 + 5)

= 12/10

= 6/5

marin [14]3 years ago

3 0

Answer: the slope is 6/5

Step-by-step explanation:

Hi, to answer this we have to apply the slope formula:

slope (m) = (y2-y1)/ (x2-x1)

Since each point has the form (x,y)

For our case:

(5,11) = (x1,y1)

(-5,-1) = (x2,y2)

So, replacing with our values:

m = ( -1-11) / ( -5-5) = -12/-10= 6/5

Feel free to ask for more if needed or if you did not understand something.

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2 years ago

Write a polynomial f(x) that meets the given conditions. Answers may very

AnnZ [28]

The polynomial is: $f(x)=x^3-2x^2-23x+60$

Step-by-step explanation:

We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4

Since zeros are at 3,-5 and 4

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or:

x-3=0, x+5=0 and x-4=0

Multiplying all factors to find the polynomial:

$(x-3)(x+5)(x-4)=0\\(x(x+5)-3(x+5))(x-4)=0\\(x^2+5x-3x-15)(x-4)=0\\(x^2+2x-15)(x-4)=0\\x(x^2+2x-15)-4(x^2+2x-15)=0\\x^3+2x^2-15x-4x^2-8x+60=0\\x^3+2x^2-4x^2-15x-8x+60=0\\x^3-2x^2-23x+60=0$

So, the polynomial is: $f(x)=x^3-2x^2-23x+60$

keywords: Factors and zeros of polynomial

Learn more about Factors and zeros of polynomial at:

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kow [346]

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