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Llana [10]
3 years ago
6

A plane travels 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind. When a tailwind is present, the pla

ne’s speed increases by x kilometers per hour. The time it takes the plane to travel the same distance with the tailwind, t(x), is defined by the function t(x)= 2,000/900+x. What is the meaning of the y-intercept for this function?
Mathematics
2 answers:
ch4aika [34]3 years ago
3 0

Answer:

The meaning of the y-intercept is the time needed for the plane to cover 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind.

Step-by-step explanation:

The time it takes the plane to travel 2,000 kilometers with the tailwind, t(x), is defined by the function

t(x)=\dfrac{2,000}{900}+x,

where x is the increase in speed when the plane travels with the wind (tailwind).

The y-intercept is at x = 0, then

t(0)=\dfrac{2,000}{900}+x\\ \\t(0)=\dfrac{20}{9}=2 \dfrac{2}{9}\ hours

The meaning of 2 \dfrac{2}{9} hours is the time needed for the plane to cover 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind.

Reil [10]3 years ago
3 0

Answer:

i think it is a in edge

Step-by-step explanation:

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pshichka [43]

Answer:

39

Work:

(x+5)/2=22

We will reverse this equation.

We will start by moving the 2 through inverse operations.

22x2=44

Now we have the equation

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4 0
4 years ago
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nirvana33 [79]
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5 0
3 years ago
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4 0
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Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.
Tems11 [23]

Answer: (a) y = -3x + 10

               \bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}  

<u>Step-by-step explanation:</u>

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: m=\dfrac{y_2-y_1}{x_2-x_1}

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

m=\dfrac{1-0}{3-0} = \dfrac{1}{3}

Step 2: Find the slope of CD (opposite and reciprocal of OB)

m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      <em>distributed -3 into (x - 3)</em>

y      = -3x + 10    <em>added 1 to both sides</em>

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

\dfrac{10}{3}=x    <em>divided both sides by -3</em>


3 0
3 years ago
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