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grigory [225]
3 years ago
8

Find the equation of the line which is perpendicular to the line y=− 1 3 x+6 through the point (2,4)

Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Answer

y=3x-2

Step-by-step explanation:

nikklg [1K]3 years ago
5 0

The equation of the perpendicular line is   13y=27-x

Step-by-step explanation:

Writing the given equation to slope-intercept form.

y=− 1 3 x+6

The slope of this line is 13

The perpendicular slope is -1/13

Using  the new slope and the given point into the slope-intercept form to find the y-intercept.  

4=-1/13(2)+c

2=-1/13+c

c=27/13

 y=-1/13x+27/13

So the equation of the perpendicular line is 13y=27-x

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Answer:

d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.

Step-by-step explanation:

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In 2001,the united states oil consumption was 7,297.4 millions of barrels,while japan's was 1,979.4 millions of barrels. How man
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Answer:

5,318 millions of barrels

Step-by-step explanation:

Subtract Japan's number of barrels from the US' to find the difference:

7,297.4 - 1,979.4 = 5,318 millions of barrels

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3 years ago
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3 years ago
A 10 foot tree create a shadow that is 15 feet long. Find the angle of elevation of the sun
Solnce55 [7]

Answer:

The angle of elevation of the sun is 33.7⁰

Step-by-step explanation:

let the height of the tree, T = 10 foot

length of the shadow created by the tree, B = 15 feet long

Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.

Let the remaining side, hypotenuse, L = ?

Apply Pythagoras theorem;

L ² = T² + B²

L ² = 10² + 15²

L ² = 325

L = √325

L = 18.03 ft

The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.

Let the angle of elevation = θ

tan θ = opp / adj

tan θ  = 10 / 15

tan θ  = 0.66667

θ = tan ⁻¹ (0.66667)

θ = 33.7⁰

Therefore, the angle of elevation of the sun is 33.7⁰

5 0
4 years ago
A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed
mel-nik [20]

Answer:

  • boat speed: 17.25 mph
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Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

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Subtracting the first equation from the second, we get ...

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Then either equation can be used to find b:

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The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

5 0
3 years ago
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