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Papessa [141]
3 years ago
8

Graph the line by plotting any two ordered pairs that satisfy the equation. −6x=3

Mathematics
1 answer:
kolezko [41]3 years ago
5 0
This answer will be x= -1 over 2
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A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate
sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

x^2 + 1^2 = y^2

Differentiate w.r.t time (t)

2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}

2x\frac{dx}{dt} = 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} = y\frac{dy}{dt}

From the question, we have that the plan travels are 510mi/h.

This implies that:

\frac{dx}{dt} = 510mi/h

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

y = 2mi

Apply Pythagoras theorem

x^2 + 1^2 = y^2

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

x^2 = 3

x = \sqrt 3

So, the expression becomes:

x\frac{dx}{dt} = y\frac{dy}{dt}

\sqrt 3 * 510 = 2* \frac{dy}{dt}

\frac{\sqrt 3 * 510}{2} =  \frac{dy}{dt}

\sqrt 3 * 255 =  \frac{dy}{dt}

\frac{dy}{dt} = 255\sqrt 3

\frac{dy}{dt} = 255 * 1.7321

\frac{dy}{dt} = 441.655

\frac{dy}{dt} = 442

<em>Hence, the distance is 442 miles</em>

7 0
3 years ago
What does the slope of a line represent?
timurjin [86]

Answer:

A.  change in a dependent variable

6 0
3 years ago
Read 2 more answers
Heather bought a CD on sale for $11 and a book that cost $14 the sales tax rate is 5% how much tax did Heather pay for both item
Travka [436]
Add 11 and 14 = 25. Then change 5% to a decimal or .05. 25 x .05= $1.25 this is the tax. Add $25 to $1.25. Answer is $26.25
3 0
3 years ago
Is 28/81 less than 7/9.Is 28/81 less than 4/9?
lesantik [10]
28/81 is less than 7/9

28/81 is less than 4/9

The common denominator is 81, so you say 9 can go into 81 nine times, so you multiply 9 by the numerator, so 7/9 is now 63/81 an 4/9 is now 36/81
8 0
3 years ago
Answer this for me guys
Andrews [41]

Answer:

Answer: 1 1/4

Step-by-step explanation:

1/4 * -5

5 0
3 years ago
Read 2 more answers
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