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3 years ago

Factor out the coefficient of the variable: 2/9j + 2/3

2 answers:

7 0

To factor out 2/9, we must find how it factors out of 2/3. Divide 2/3 by 2/9, which is the same as multiplying ⅔ and 9/2, then you get (2*9)/(2*3) or 9/3 which is 3. So factored out the expresssion looks like 2/9(j+3)

Valentin [98]3 years ago

6 0

Factorisation:

2/9j+2/3

=2/9j+6/9

=2/9(j+3)

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Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).

Burka [1]

Step-by-step explanation:

As we know that

The circle center is equidistant from all three points, the distance being the circle radius.

Any point equidistant from two points must lie on the perpendicular bisector of the line segment which join those two points.

Which is, on the line through the midpoint of the line segment, perpendicular to the line segment.

The perpendicular bisector of the line segment joining the points (1, 1) and (1, 3) will be:

$\:y=\:\frac{1+3}{2}=\frac{4}{2}=2$

The perpendicular bisector of the line segment joining the points (1, 3), and (9, 2) will be:

$x=\:\frac{1+9}{2}=\frac{10}{2}=5$

These intersect at the center of the circle (5, 2).

The distance between (1, 1) and (5, 2) will be:

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\mathrm{The\:distance\:between\:}\left(1,\:1\right)\mathrm{\:and\:}\left(5,\:2\right)\mathrm{\:is\:}$

$=\sqrt{\left(5-1\right)^2+\left(2-1\right)^2}$

$=\sqrt{4^2+1}$

$=\sqrt{16+1}$

$=\sqrt{17}$

So the equation of the circle can be written as:

$\left(x-5\right)^2+\left(y-2\right)^2=17$

$x^2-10x+y^2+29-4y=17$

$x^2-10x+y^2-4y+12\:=0$

$x^2+y^2-10x-4y+12=0$

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3 years ago

Pls help!!!! will give brainliest

Zanzabum

Answer:

Y = 9

Step-by-step explanation:

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3 years ago

According to market research, a business has a 75% chance of making money in the first 3 years.

algol13

Answer:

There is a 75% chance of sunny skies tomorrow.

Step-by-step explanation:

75% chance is the same likelihood as the business scenario. Hope this helps!

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3 years ago

Traveling at 65 miles/hour how many feet can you travel in 22 minutes

tangare [24]

Here is what another branily user said:

If you are travelling at 65 mph, you have to think of it as if you are moving at a constant speed. By dividing 65 by 60, you are calculating how many miles you are moving each minute. In doing so, you can calculate that you are moving at 1.083333 miles each minute. That's approximately 5720 feet per minute. (This is calculated by multiplying 1.083333 by 5280 (the number of feet in a mile)). 5720 x 22 minutes, you will have traveled 125,840 feet.

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