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Lilit [14]
3 years ago
6

Write an equation of the line that passes

Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer:

y =  \frac{5}{4} x - 5

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Find the equation of the sphere centered at (2,−9,1) with radius 2. 4 = (x-2)+(y+9)+(z-1). Give an equation which describes the
Monica [59]

Answer:

See explanation

Step-by-step explanation:

The equation of the shpere canterd at point (a,b,c) with radius R is

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

The center of the sphere is (2,-9,1), the radius is 2, then the equation is

(x-2)^2+(y+9)^2+(z-1)^2=2^2\\ \\(x-2)^2+(y+9)^2+(z-1)^2=4

Now, find the intersection of this sphere with the plane z=2. Substitute 2 instead of z into the sphere equation:

(x-2)^2 +(y+9)^2+(2-1)^2=4\\ \\(x-2)^2+(y+9)^2+1=4\\ \\(x-2)^2+(y+9)^2=3

This is the equation of the circle lying in the plane z=2 with center at (2,-9,2) and radius \sqrt{3}.

8 0
4 years ago
an exterminator must treat the perimeter of a house for insects if the house is 90 feet long and 30 feet wide what is the total
Andru [333]
240 feet. hope this helped 
6 0
4 years ago
What is the answer for Number 2
Slav-nsk [51]
-5+3=-2-3+3=-2

Hope this helps
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3 years ago
23÷10=<br> how to work it out
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The answer is 2.3 :)

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4 years ago
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(36+4) divided by 10 how do I write it in a story problem
BlackZzzverrR [31]

Step-by-step explanation:

you can write it as

the sum of of thirty six(36) and four(4) is divided by Ten(10)

5 0
3 years ago
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