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2 years ago

Find the slope of the line contain the given pair of points (-6,4) and (1,0)

2 answers:

8 0

$(-6,4) \\
x_1=-6 \\
y_1=4 \\ \\
(1,0) \\
x_2=1 \\
y_2=0 \\ \\
\hbox{the slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{1-(-6)}=\frac{-4}{1+6}=-\frac{4}{7}$

The slope is -4/7.

gulaghasi [49]2 years ago

8 0

$m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}}
 







$
$m = \frac{0 - 4}{1 - (-6)}$
$m = \frac{0 - 4}{1 + 6}$
$m = \frac{-4}{7}$

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A top-loading washing machine has a cylindrical basket that rotates about a vertical axis. The basket of one such machine starts

damaskus [11]

Answer:

$n_{tot}=44rev$

Step-by-step explanation:

In order to solve this problem we can make use of the following formula:

$\theta=(\frac{\omega_{f}+\omega_{0}}{2})t$

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.

Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

$n=(\frac{f_{f}+f_{0}}{2})t$

where n represents the number of revolutions and f is the frequency at which the basket is turning.

The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

$n=(\frac{4rev/s+0}{2})(9s)=18rev$

and now let's analyze the second stage, where it decelerates, so we get:

$n=(\frac{0rev/s+4rev/s}{2})(13s)=26rev$

So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:

n=18rev+26rev=44rev

So the basket will turn a total of 44 revolutions during this 22s interval.

3 0

2 years ago

What is a possible value for the missing term of the geometric sequence? 43, ___, 688, ...

Ostrovityanka [42]

Answer:

172

Step-by-step explanation:

The formula for the missing term of a geometric sequence is the square root of x times y.

4 0

2 years ago

i need help asap please dont type random anwsers, that will result in it being deleted. GIVING BRAINLIEST ONLY TO CORRECT, INCOR

Veseljchak [2.6K]

Answer:

The area of the rectangle TOUR is 80.00 unit².

Step-by-step explanation:

The area of a rectangle is computed using the formula:

$Area\ of\ a\ Rectangle=length\times width$

Since the dimensions of the rectangle are not provided we can compute the dimensions using the distance formula for two points.

The distance formula using the two point is:

$distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Considering the rectangle TOUR the area formula will be:

Area of Rectangle TOUR = TO × OU

The co-ordinates of the four vertices of a triangle are:

T = (-8, 0), O = (4, 4), U = (6, -2) and R = (-6, -6)

Compute the distance between the vertices T and O as:

$TO=\sqrt{(4-(-8))^{2}+(4-0)^{2}}\\=\sqrt{12^{2}+4^{2}} \\=\sqrt{160} \\=4\sqrt{10}$

Compute the distance between the vertices O and U as:

$OU=\sqrt{(6-4)^{2}+(-2-4)^{2}}\\=\sqrt{2^{2}+6^{2}} \\=\sqrt{40} \\=2\sqrt{10}$

Compute the area of rectangle TOUR as follows:

$Area\ of\ TOUR=TO\times OU\\=4\sqrt{10}\times 2\sqrt{10}\\=80\\\approx80.00 unit^{2}$

Thus, the area of the rectangle TOUR is 80.00 unit².

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2 years ago

Sinx + cos2x + sin3x + 1 =0

astraxan [27]

Step-by-step explanation:

This is true statement.

have a great day

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3 years ago

Two angles of a triangle are the same size. The third angle is 12 degrees smaller than the first angle. Find the measure the ang

lesya692 [45]

Answer:12, 84 and 84

Step-by-step explanation:

since we know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

Hope it helps! Mark it as Braniest

5 0

1 year ago

Read 2 more answers