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3 years ago

8

Which of the following points is in the solution set of y

1 answer:

labwork [276]3 years ago

5 0

Where is the picture

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A weather plane took to the skies to measure the speed of the jet stream. The plane flew 1920 km with the jet stream as a tail w

Alex

For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:
$p + w = 1920/2
$
With the wind against the speed is:
$p - w = 1920 / 3.2
$
Rewriting both equations, we have the following system of equations:
$p + w = 960

p - w = 600$
Then, solving the system of equations (graphically for example), we have the solution is:
$p = 780

w = 180$
Therefore, jet stream's speed:
$w = 180 km / h
$
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h

7 0

3 years ago

Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

$\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}$

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}$

Now,

For second-line,

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}$

The given result of the slope is negative reciprocal because

$\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}$

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0

1 year ago

What is the solution of the equation 4[x + 2(3x – 7)] = 22x – 65?

Arisa [49]

Answer: x=-3/2

Step-by-step explanation:

6 0

3 years ago

The area of a room is 55.929 square meters if its width is 5.43 meters, what is its length

Anna007 [38]

Answer:

10.3m

Step-by-step explanation:

area of a rectangle is width times length, so you have to rearrange the equation

55.929 ÷ 5.43 = 10.3

3 0

2 years ago

Read 2 more answers

Find the area of the regular polygon.

Alenkasestr [34]

Answer:

5.5

Step-by-step explanation:

5 0

3 years ago