X-2y=-12
x+6y=20
we can cancel x's
multiply first equation by -1 and add to 2nd equation
-x+2y=12
<u>x+6y=20 +</u>
0x+8y=32
8y=32
divide both sides by 8
y=4
sub back
x-2y=-12
x-2(4)=-12
x-8=-12
add 12 both sides
x=-4
(x,y)
(-4,4)
C, as they are on the same plane, (it is uncommon to find non co-planar lines)
D, as that symbol means parallel
A is untrue as they are on the same plane
B is untrue as that symbol means perpendicular
E is untrue as perpendicular means the two lines intersect and form 90 degree angles
F is untrue as parallel lines never intersect
Answer: The graph of the function would move five units up on the vertical axis.
Step-by-step explanation:
Answer:
the fraction of surface that is not covered is 11/36
Step-by-step explanation:
To do this we first have to calculate the two surfaces
s = π * r^2
π = 3.14
r = d/2
d1 = 20
d2 = 24
r1 = 20/2
r1 = 10
r2 = 24/2
r2 = 12
s1 = π * r1^2
s1 = 3.14 * 10^2
s1 = 3.14 * 100
s1 = 314
s2 = π * r2^2
s2 = 3.14 * 12^2
s2 = 3.14 * 144
s2 = 452.16
to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1
s1 / s2 =
314 / 452.16 =
25/36
1 we subtract this
1 - 25/36 = 11/36
the fraction of surface that is not covered is 11/36
