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3 years ago

11

A plane descends to sea level from 36 comma 400 feet after being airborne for 1 and one half hours. The entire flight time is 3

hours and 14 minutes. Determine the average rate of descent of the plane.

2 answers:

andrew-mc [135]3 years ago

6 0

Answer:

350 feet per minute

Step-by-step explanation:

The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.

This means it took 104 minutes for the plane to descend 36,400 feet.

Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.

Daniel [21]3 years ago

6 0

Answer:

350 feet per minute

Step-by-step explanation:

The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.

This means it took 104 minutes for the plane to descend 36,400 feet.

Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.

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The given line segment has a midpoint at (3, 1).

Katena32 [7]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ .

Therefore the line passing through (2, 4) and (4, -2) has an equation:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

$m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}$

Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

$\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x$

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

I need help with this pls

Alexxx [7]

Hello!

<u>What is an x-intercept</u>:

⇒ <em>value of x</em> when the <em>value of y</em> equals '0'

$8x + 5y=25\\8x+5(0)=25\\8x=25\\\\x=\dfrac{25}{8}$

x-intercept is <u>25/8</u>

<u></u>

<u></u>

<u>What is a y-intercept:</u>

⇒ <em>value of y</em> when the <em>value of x</em> equals '0'

$8x+5y=25\\8(0)+5y=25\\5y=25\\y=5$

y-intercept is <u>5</u>

<u></u>

Hope that helps!

<u />

5 0

1 year ago

An isosceles triangle has an angle of 70°. what are the possible values of the other two angles?

IRINA_888 [86]

Answer:

55 and 55 or 70 and 40

Step-by-step explanation:

A triangle has 180o and an isosceles triangle has two angles that are the same. As 70 is less than half, we have a couple of possible solutions to this. So one possible solution is 70-55-55. So the other possible solution is 70-70-40.

3 0

3 years ago

A low-wattage radio station can be heard only within a certain distance from the station. On the graph above, the circular regio

makkiz [27]

I would be happy to help, is there anything else like the options or the graphs you could add?

6 0

4 years ago

Write the equation of a line with a slope of -7/2 passing through the point 2,-4

fiasKO [112]

Answer:

y = -7/2x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -7/2 x+b

Substitute the point into the equation

-4 = -7/2(2) +b

-4 = -7+b

Solving for b

-4+7 = -7+b+7

3 = b

The equation is y = -7/2x+3

5 0

3 years ago