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Zarrin [17]
3 years ago
15

Help please . 10 points

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer:

xtsLztfahlzkfxsh bldg MS much k stick us rich l dips ssssseereeeeeexxxxxxxx

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Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).
sleet_krkn [62]

Answer:

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30

Step-by-step explanation:

The general equation of a sphere is as follows:

(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}

In which the center is (x_{c}, y_{c}, z_{c}, and r is the radius.

In this problem, we have that:

x_{c} = 3, y_{c} = 8, z_{c} = 1

So

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}

through the point (4,3,-1)

This leads us to find the radius.

(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}

r^{2} = 1 + 25 + 4

r^{2} = 30

So the equation of the sphere is:

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30

6 0
3 years ago
F(x)=5x^2+10x express f in standard form
Mkey [24]

Answer:  F(x) =  5x^2 + 10x

5 0
3 years ago
The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
qwelly [4]
In:mi

2 = 30

x = 120


2/30=x/120

(Cross Multiply)

30x= 240

30x/30=240/30

X=8



8 0
3 years ago
4(5c + 3) and 9c + 7 Is equivalent
Arlecino [84]

Answer:

False

Step-by-step explanation:

7 0
3 years ago
Is it possiible to develop a place without a prior plan​?give four points
Volgvan
Uhmmmm is there a picture of the problem i’m confused
4 0
3 years ago
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