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3 years ago

What is the equation of the line that passes through the point (-5, 7) and has a slope of –1/5?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

The equation is y = -1/5x + 6

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1. y = sin? (In x). Find dy

galina1969 [7]

Answer:

dy/dx= cos(ln(x))/x

Step-by-step explanation:

y=sin(ln(x)) given

We have to use chain rule to differentiate!

Let u=ln(x) then du/dx=1/x

So we have

if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x

where again u=ln(x) so

dy/dx=cos(ln(x)) *1/x

dy/dx=cos(ln(x))/x

I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .

8 0

3 years ago

A natural number between 6 and 12

faltersainse [42]

7, 8, 9, 10, or 11 are all natural numbers between 6-12.

5 0

3 years ago

Sonu's grandmother is 80 years old and Sonu is 20 years old. how many years ago was his grandmother 7 times as old as Son? (line

Aleks [24]

Answer:

10 years ago

Step-by-step explanation:

Let x be the number of years ago

x years ago,

Sonu's grandmother was 80 - x

Sonu was 20 - x

x years ago,

the grandmother was 7 times as old as Sonu

80 - x = 7(20 - x)

80 - x = 140 - 7x

6x = 60

x = 10

6 0

3 years ago

A hunter is at a point on a riverbank. He wants to get to his cabin located 2 Miles North and 8 Miles West. He can travel 5 Mph

miskamm [114]

Answer:

Option A

Step-by-step explanation:

A hunter travels to his cabinet located at 2 Miles North and 8 Miles West.

Let "d" be the distance traveled before reaching the rocky ground at point say "P". Let the cabin be at "C"

The distance between C and P is given by

$\sqrt{(2^2+(8-d)^2}\\$

Let "t" be the time taken to travel distance CP.

$T = \frac{d}{5} + \frac{\sqrt{2^2+(8-d)^2} }{3}$

Minimum time will be when "t" is equal to zero

Differentiating the above equation wrt "d", we get -

$= \frac{1}{5} + \frac{1}{3} (\frac{-2(8-d)}{2\sqrt{2^2+(8-d)^2} } )= 0\\\frac{1}{5} = \frac{1}{3} \frac{(8-d)}{\sqrt{4+(8-d)^2} } \\3\sqrt{4+64+d^2-16d} = 40-5d\\$

On squaring both the sides , we get -

$3\sqrt{4+64+d^2-16d} = 40-5d\\9(68+d^2-16d)= 1600+25d^2 -400d\\612+9d^2-144d=1600+25d^2 -400d\\16d^2-256d+988=0\\d_1 = 9.5\\d_2 = 6.5$

"d" cannot be greater than 8 miles.

Hence, the value of "d" is equal to $6.5$

Option A

8 0

3 years ago

Two buses are moving towards each other, one at a speed of 40 mph and the other at a speed of 50 mph.

aniked [119]

The answer would be 10

6 0

3 years ago

Read 2 more answers