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Cerrena [4.2K]
3 years ago
9

Determine the equation of the line passing through the points (4,-1) and (-2,-4)

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}

the equation:

with the point (4, -1)

y-(-1)=\frac{1}{2} (x-4)

y+1=\frac{1}{2}x-2

y=\frac{1}{2} x-2-1

y=\frac{1}{2} x-3

I hope this help you

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Perform the indicated operation. square root of 8 + square root of 50
Dmitrij [34]
Square root of 8 = 2.82842712475

Square root of 50 = <span>7.07106781187
</span>
Sum = 9.89949494

If you would like to round, you can go ahead and round 9.89949494 to 9.9

6 0
4 years ago
What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
Naddik [55]
ANSWER

The turning point is

(1,-3).


EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

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We using the chain rule of differentiation, we obtain,
f '(x) =3 (x - 1) ^{2}

We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


(x - 1) ^{2}   = 0

We solve for x to get,

x - 1 = 0


x = 1


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.





f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

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(1,-3)

C is the correct answer.
6 0
3 years ago
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Answer fast but correctly​
olasank [31]

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Hope you could understand.

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3 0
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umka2103 [35]

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and since x-4=0

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(x-3)(x-4)

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now we simplify to get x^2-7x+12

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