The midpoint formula is:
(point1 + point2)/2
1) (-2 + 12)/2 = 5
2) (-1 +5)/2 = 2
(0+2)/2 = 1
(2,1)
3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
sqrt of (7 -1)^2 + (-7 - 1)^2
sqrt of (6)^2 + (-8)^2
sqrt of 36 + 64
sqrt of 100
10
Hope this helps!
The answer would be 199/37 or 5 14/37
Answer:
D(V) = 100,48 cm³
Step-by-step explanation:
The volume of a sphere is:
V(s) = 4/3 π*r³
Where r is the radius of the sphere
If we take derivative of V respect r
D(V)/ dr = 4/3*3*π*r² ⇒ D(V)/ dr = 4*π*r² ⇒ D(V) = 4*π*r²*dr
We know:
r = 20 cm and dr = 0,02 ( at most)
Then
D(V) = 4*π*(20)²*0.02 cm³
D(V) = 32*π
D(V) = 100,48 cm³
Try this solution:
1. if to transform the given equation into the standard form:
x²+y²-4x+6y-3=0;
(x²-4x+4)+(y²+6y+9)-16=0;
(x-2)²+(y+3)²=4²
2. Using the standard form it is possible to find the coordinates of the centre of given circle: x=2; y= -3
answer: b) - (2;-3)
Answer:
a) 90
b) 256
Step-by-step explanation:
1² + 2³ + 3⁴
= 1 + 2³ + 3⁴
= 1 + 8 + 3⁴
= 9 + 34
= 9 + 81
= 90
4² × 2⁴
= 16(2⁴)
= (16)(16)
= 256