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Simora [160]
2 years ago
15

the grid below is made up of squares with sides of 1cm draw a rectangle with an area of 12 cm squared

Mathematics
1 answer:
Ann [662]2 years ago
4 0

Answer:

6 is length and 2 is width.

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Complete the steps: 4/9 ÷ 1/2
Alexxandr [17]

Answer:

4/9 times 2/1 and 8/9

Step-by-step explanation:

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shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amou
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540-35x= y

540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.
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Graph the inequality 4x -2y < 8
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Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic
Andrei [34K]

Answer:

\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

(x-a)^2+(y-b)^2+(z-c)^2=r^2

Where (x,y,z) are the points on sphere.

(a, b, c) is the center of the sphere and

r is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}

Here,

x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2  =2 \\z_2 =3

So, Radius is:

r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}

Therefore the equation of the sphere is:

(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}

4 0
3 years ago
What is 3 x 3 x 9 x 9 x 81 x 81 x 6561 x 6561
juin [17]

Answer:

205891132094649

6 0
3 years ago
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