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2 years ago

Really need all those answers!!

Mathematics

1 answer:

borishaifa [10]2 years ago

7 0

Answer:

n^2 + 7

9^3 - x

x^3 + 11^3

(-10)^6

11^4 - 9

x^3 + 10

x^2 * 8

(m^3)/n

(10^4)^2 + y^2

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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

Carol rolled a dice 150 times she rolled a 6 29 times use carols data to estimate the probability of rolling a six with this dic

lara31 [8.8K]

29/150
This is because she rolled a 6 29 times out of a possible 150 times

3 0

3 years ago

What is the difference between infinity and forever?

VikaD [51]

When you say something goes on forever, it means that it is going on to infinity. Infinity is something that can be used as a mathematical concept, but forever is not. Forever is something people say if they don't know how infinity is used.

8 0

3 years ago

Read 2 more answers

The radius of the base of a cone is 16 m. Its slant height is 28 m. What is the surface area in

11111nata11111 [884]

Answer:

704π m^2

Step-by-step explanation:

Given data

radius r= 16m

Slant height l= 28m

Required

The surface area of the cone

The expression for the surface area is given as

T.S.A=πrl+πr^2

substitute

T.S.A=π*16*28+π*16^2

T.S.A=448π+256π

T.S.A=704π m^2

Hence the T.S.A is 704π m^2

4 0

3 years ago

Suppose 35 gallons of water came out of a pipe in 7 minutes. what was the rate in gallons per minute

den301095 [7]

Answer:

6 gallons per minute

Step-by-step explanation:

35÷7=6

3 0

3 years ago