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3 years ago

Simply the expression. x^3*x^-2

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

X^3(x^-2)
=x^1
=x

Final answer is x

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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:

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

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

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

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

8 0

3 years ago

Hello is there a mod I can talk to?

Ghella [55]

Wdym mod is there mods on here

6 0

4 years ago

Read 2 more answers

Alice takes her favorite number, adds 5 to it, multiplies the answer by 10, subtracts 20 from the result, and then drops the fin

yanalaym [24]

(x + 5 ) 10 - 20 = 10x +50 -20 = 10 x +30 = 10 ( x+3 )

we drop the zero

x + 3 = 9

x= 9- 3= 6

4 0

3 years ago

Teri,Jannae and Abi recieve £200,£350 and £450 respectively as their dividends in a joint investment

Natasha_Volkova [10]

Answer:

4 : 7 : 9

Step-by-step explanation:

The ratio of their dividends is

200 : 350 : 450 ← divide each part by 50

= 4 : 7 : 9 ← in simplest form

5 0

3 years ago

HELP PLEASEEEEEE GRAPH AND CORDINATES

Nimfa-mama [501]

Points A (5,0) Point B(2,1) Point C (2,4) Point D (3,5)

hope it helps

#carry on learning

follow me and mark me as brainlist plss

4 0

3 years ago