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3 years ago

What is the slope of the line?

Mathematics

1 answer:

OLEGan [10]3 years ago

6 0

to get the slope of any straight line, we can simply use two points off of it, hmmm say let's use here (2,8) and (4,4)

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{8})\qquad
(\stackrel{x_2}{4}~,~\stackrel{y_2}{4})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-8}{4-2}\implies \cfrac{-4}{2}\implies -2$

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A particular airport has beacons on the ground 5 km out from the start of each runway. An airplane is directly over this beacon

AleksAgata [21]

Answer:

The direct distance from the plane to the start of the runway is approximately 5.0623 km

Step-by-step explanation:

The locations of the beacons on the runway, x = 5 km from the start of each runway

The angle of elevation of the airplane from the runway, θ = 9°

Let 'R' represent the direct distance from the plane to the start of the runway

The horizontal distance from the start of the runway to the beacon, 'x', the distance from the plane to the start of the runway, 'R', and the vertical height of the plane, 'h' form a right triangle with rides x, R, and h

By trigonometric ratios, we have;

$cos\angle \theta = \dfrac{The \ length \ of \ the \ adjacent\ leg \ to \ \angle \theta}{The \ length \ of \ the \ hypotenuse \ side} = \dfrac{x}{R}$

Therefore, we have;

$cos (9 ^{\circ}) = \dfrac{x}{R} = \dfrac{5}{R}$

From which we have;

$R= \dfrac{5}{cos (9 ^{\circ}) } \approx 5.0623$

The direct distance from the plane to the start of the runway, R ≈ 5.0623 km

7 0

3 years ago

Find the value of f(-2)

Oksana_A [137]

Answer:

f(-2) = 3.

Step-by-step explanation:

Reading off the graph, f(-2) = 3.

7 0

3 years ago

Find the inverse of each function.<br> g(n) = 2n+6/7

bulgar [2K]

Answer- 7n-6/2

Step by step explanation-

solution,

here

Given,

g(n)=2n+6/7

Let g(n) be y

So,

Interchanging the position of n and y we get the reverse So,

n = 2y+6/7

or, 7n = 2y+6

or, 7n-6 = 2y

or, 7n-6/2 = y

Therefore the inverse function of g(n) is 7n-6/2

Thank you.

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4 years ago

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Ronch [10]

4 9 7 in that order hope this helps

3 0

3 years ago

I'm having a math test tomorrow, what the best way to study?

aliya0001 [1]

Answer:

You can try using flash cards or use quizlet

4 0

3 years ago

Read 2 more answers