Write an equation in y = mx + b given the slope of 2 and goes through the point (4, 9).

Mathematics

2 answers:

-BARSIC- [3]3 years ago

7 0

Answer:

slope=2 ie m=2

y=2x+b

and to solve b, we put in 4 and 9 into the equation

9=2*4+b, so b=9-8=1

hence y=2x+1

Step-by-step explanation:

Sedbober [7]3 years ago

7 0

Answer:

Student your question is not too clear, please complete the question

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M^ 2 + m − 90 factorize

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Answer:

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Step-by-step explanation:

To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.

Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)

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Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

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Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$