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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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QUESTION 1 1 POINT<br> Factor: 27m3<br> 64.<br> Provide your answer below:<br> Content attribution
pickupchik [31]

Answer:

\boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2}  + 12m + 16)}}}}

Step-by-step explanation:

\sf{27 {m}^{3}  - 64}

\dashrightarrow{ \sf{( {3m)}^{3}  -  {(4)}^{3} }}

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

\longrightarrow{ \sf{(3m - 4)(3 {m}^{2}  + 3m \times 4 +  {4}^{2} }})

\longrightarrow{ \sf{(3m - 4)( {9m}^{2}  + 12m + 16}})

Hope I helped!

Best regards! :D

5 0
3 years ago
The degree of the polynomial function f(x) is 4 The roots of the equation f(x)=0 are -4,-1, 2 and 5 Which graph could be the gra
Sauron [17]

If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.

Thus, the polynomial will have form

f(x)=a(x+4)(x+1)(x-2)(x-5), where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.

The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).

4 0
3 years ago
What Is the Intersection of Two Sets
denis-greek [22]

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

8 0
2 years ago
What is 30 dived 81 plz i need to know this
Kitty [74]

Answer:31 dived by 81 is 0.3703

Step-by-step explanation:

8 0
4 years ago
Identify vertex and y-intercept of graph of function y= -3(x+2)^2+5
Doss [256]
Hello,

Vertex=(-2,5)
x=0==>y=-3(0+2)²+5=-7

3 0
3 years ago
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