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o-na [289]
3 years ago
11

Write down an (in)equality which describes the solid ball of radius 8 centered at (−10,10,−7). it should have a form like x2 y2

(z−2)2−4>
Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

The equation of a sphere (I mean only the surface) is

(x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2 = r^2

where (x_0,y_0,z_0) is the center of its sphere, and r is its radius. This equation simply menas "consider the points who are exactly r units away from the center".

So, if instead of the sphere surface we want the solid ball, we need to consider all the points whose distance from the center is less than or equal to the radius. So, the equation becomes

(x+10)^2 + (y-10)^2 + (z+7)^2 \leq 64

Contact [7]3 years ago
5 0

A sphere centered at (h, j, k) with radius r has equation

... (x-h)² + (y-j)² + (z-k)² = r²

A solid ball with the same center will have any radius up to r. Your ball has equation

... (x +10)² +(y -10)² +(z +7)² ≤ 64

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F(x)=x2 what is g(x)?
Oksi-84 [34.3K]

g(x) = (1/4)x^2 . correct option C) .

<u>Step-by-step explanation:</u>

Here we have , f(x)=x^2  and we need to find g(x) from the graph . Let's find out:

We have ,  f(x)=x^2   . From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !

A . g(x) = (1/4x)^2

Putting (2,1) in equation g(x) = (x/4)^2 , we get :

⇒ g(2)= (\frac{2}{4} )^2

⇒ 1\neq \frac{1}{4}

Hence , wrong equation !

B . g(x) = 4x^2

Putting (2,1) in equation g(x) = 4x^2 , we get :

⇒ g(2)=4(2)^2

⇒ 1\neq 64

Hence , wrong equation !

C . g(x) = (1/4)x^2

Putting (2,1) in equation g(x) = (1/4)x^2 , we get :

⇒ g(2)= (\frac{1}{4} )2^2

⇒ 1= 1

Hence , right equation !

D . g(x) = (1/2)x^2

Putting (2,1) in equation g(x) = (1/2)x^2 , we get :

⇒ g(2)= (\frac{1}{2} )2^2

⇒ 1\neq 2

Hence , wrong equation !

Therefore , g(x) = (1/4)x^2 . correct option C) .

8 0
3 years ago
Write the expression as a product.<br> 25-(a + 7)^2
Nastasia [14]

25 -  ({a + 7})^{2}  =

(5 + (a + 7))(5 - (a + 7)) =

(a + 12)( - a - 2)

Have a great day ♡

6 0
2 years ago
Read 2 more answers
A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of
finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}

                                    = π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

  \sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 \sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12

      \sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\  r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \  sphere = 18 \ cm}

6 0
2 years ago
Choose one of the factors of 1331x3 − 8y3.
daser333 [38]
B is the answer hope this helps :)
7 0
3 years ago
Read 2 more answers
Open-Ended Write an equation for the line in slope intercept form.​
s344n2d4d5 [400]

Answer:

y = -2x+2

Writing the slope was the more difficult part. Writing the y-intercept was the easiest because I had to select to points on the line and solve to get the slope. The y-intercept was already explicitly shown on the line.

Step-by-step explanation:

y = mx+b

y = -2x + 2

5 0
3 years ago
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