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lawyer [7]
2 years ago
13

Write the equation of the line in slope-intercept form using y=mx+b​

Mathematics
2 answers:
crimeas [40]2 years ago
8 0

Answer:

y= 5x + -3

Step-by-step explanation:

m= slope= rise over run= 5

b= y intercept= -3

AnnZ [28]2 years ago
3 0
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3
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What are the solutions of the equation x^4 – 5x^2 – 36 = 0? Use factoring to solve.
hammer [34]

Answer:

Step-by-step explanation:

The equation is x^4 – 5x^2 – 36 = 0

We will break the middle term:

Firstly multiply the coefficient of x^4 by constant term of the equation:

1*36 = 36

Now find any two numbers whose product is 36 and their sum or difference is equal to 5

9*4 = 36

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Now,

x^4 – 5x^2 – 36 = 0

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Now take the common:

x^2(x^2-9)+4(x^2-9)=0

(x^2+4)(x^2-9)=0

x²+4=0,

x²= 0-4,

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Take root on both sides:

√x²=+/-√-4

+/-√-4 = +/-√-1 *√4

√-1 = i

Then +/-√-1 *√4 = √4 i

We know that the root of 4 is 2

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Now (x^2-9)= 0

x²=0+9

x²=9

Take square root on both sides:

√x²=√9

x=+/-3

x= 3, -3

Therefore the values of x are 2i, -2i, 3 , -3 ....

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