Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Let S and L be the volumes of the smaller and larger cans respectively...
The volume of a cylinder is: V=hπr^2 so
S=hπr^2 and we are told that the larger can's dimensions are 3h and 3r respectively so:
L=(3h)π(3r)^2
L=3hπ(9r^2)
L=27hπr^2
Then S/L is:
S/L=(hπr^2)/(27hπr^2)
S/L=1/27 so we can say that:
L=27S, we are told that the volume of the smaller can is 35.28 in^3 so
L=27(35.28) in^3
L=952.56 in^3
It moves the line on the X axis to a different spot when moved
hope this helps <span />
So, when you divide by a fraction, you are basically multiplying by the reciprocal of said fraction. Ergo:
6/8 * 9/78 = 54 / 624
Answer:
x = 0
y = 3.5
Explanation:
x + 5y = 16 x + 3y = 10
-x -x
5y = 16 3y = 10
5 x 3.5 = 16 3 x 3.5 = 10
