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2 years ago

Write an equation of a line that has a slope of 5 and goes through the point (-8, 35)?

Mathematics

1 answer:

MrRa [10]2 years ago

7 0

Y = 5x + b
Plug in the point
35 = 5(-8) + b
35 = -40 + b, b = 75
Solution: y = 5x + 75

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List 4 rational numbers between-4 and -3?

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-3.1, -3.5, -3.9, -3.8

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3 years ago

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3 years ago

How can you model how to find the answer to 55 divided by 5 to young child? Explain.

docker41 [41]

Answer

55 divided by 5 = 11

Step by step explanation

Assume that we have 55 balls, we have to group 5 balls in each group.

How many group can we form?

The number of groups = 55/5 = 11

Use can see it in the picture.

We have to explain with pictorial method.

I have attached the figure.

Hope this will helpful.

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2 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

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Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

I need help with math thanks

Viktor [21]

The Last on = 45x^2 - 2x - 8

Reason being is because you would group and multiple:
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6 0

3 years ago