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Vinvika [58]
3 years ago
10

What is the opposite integer of –(–7)?

Mathematics
1 answer:
klio [65]3 years ago
7 0
-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7
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Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
3 years ago
The first four terms of an arithmetic sequence are given by a1= 6, a2 = 12,
Advocard [28]

Answer:

an=6+6(n-1)

Step-by-step explanation:

6 0
3 years ago
In the simplest radical form, what is the perimeter of a square with a diagonal of 12 cm?
Gnesinka [82]
Diagonal of a square is √2a
so,
√2 a = 12
a= 12/√2
and.. perimeter of a square is 4a
so,
peri = 4*12/√2
= 48/√2
=33.94cm
7 0
4 years ago
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