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2 years ago

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31)

Mathematics

1 answer:

Darina [25.2K]2 years ago

4 0

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

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Please can someone help my assignment

Vadim26 [7]

Answer:

Find answers below

Step-by-step explanation:

First know that any value raise to power zero is 1 and also according to the inverse law;

a⁻ⁿ = 1/aⁿ

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a) (-123)⁰ = 1 ()Note that any value raise to zero is 1

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2 years ago

The compound interest on Rs. 50000 at 4% per annum for 2 years compound annually is

statuscvo [17]

Answer:

$54080

Step-by-step explanation:

Step one:

given

principal= Rs. 50000

rate= 4%= 0.04

time= 2 years

Required

The final Amount A

Step two

Applying

A= P(1+r)^t

substitute

A= 50000(1+0.04)^t

A= 50000(1.04)^2

A= 50000*1.0816

A= 54080

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2 years ago

A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .

insens350 [35]

<h2>Answer:0.2352 $m$ </h2>

Step-by-step explanation:

Let the mass of the person be $m$ .

Let the spring constant be $k$ .

Let the displacement in spring be $x$

Let the acceleration due to gravity be $g$

As it is given that the person just stands,the forces are balanced.

So, $mg=kx$

Given,

$m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}$

$60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m$

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2 years ago

Frank has a science test on Monday over the weekend she studies 47 7/8 of an hour for each three hours how many minutes does Fra

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He studied for 8617.5 minutes.

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3 years ago

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

2 years ago