Answer:
What do you want to solve for? x or y
Step-by-step explanation:
Answer:
20,000 in sales last month.
Step-by-step explanation:
can't really explain it I just found how much in sales would make that amount of commission.
5000 with 5%
15000 with 7.5%
Wow ! Now THERE's an incentive ! I'm just glad I got in
early enough so that there's an answer block left open.
If you should happen to glance at these three problems,
you'll notice that they're all the same problem, just with
different numbers. So if somebody showed you how to do
ONE of them, you'd know how to do ALL of them.
1). Markup = 10% of $50 = 0.1 x $50 = $5
Selling price = ($50 + $5) = $55 .
2). Markup = 60% of $80 = 0.6 x $80 = $48
Selling price = ($80 + $48) = $128 .
3). Markup = 25% of $140 = 0.25 x $140 = $35
Selling price = ($140 + $35) = $175 .
1
:x
2
+y
2
−6x−9y+13=0
(x−3)
2
+(y−
2
9
)
2
−9−
4
81
+13=0
(x−3)
2
+(y−
2
9
)
2
=
4
65
Here,
r
1
=
2
65
C
1
=(3,
2
9
)
Equation of another circle-
S
2
:x
2
+y
2
−2x−16y=0
(x−1)
2
+(y−8)
2
−1−64=0
(x−1)
2
+(y−8)
2
=65
Here,
r
2
=
65
C
2
=(1,8)
Distance between the centre of two circles-
C
1
C
2
=
(3−1)
2
+(8−
2
9
)
2
C
1
C
2
=
4+
4
49
=
2
65
∣r
2
−r
1
∣=
∣
∣
∣
∣
∣
∣
65
−
2
65
∣
∣
∣
∣
∣
∣
=
2
65
∵C
1
C
2
=∣r
1
−r
2
∣
Thus the two circles touches each other internally.
Since the circle touches each other internally. The point of contact P divides C
1
C
2
externally in the ratio r
1
:r
2
, i.e.,
2
65
:
65
=1:2
Therefore, coordinates of P are-
⎝
⎜
⎜
⎜
⎜
⎜
⎛
1−2
1(1)−2(3)
,
1−2
1(8)−2(
2
9
)
⎠
⎟
⎟
⎟
⎟
⎟
⎞
=(5,1)
Therefore,
Equation of common tangent is-
S
1
−S
2
=0
(5x+y−6(
2
x+5
)−9(
2
y+1
)+13)−(5x+y−2(
2
x+5
)−16(
2
y+1
))=0
2
−6x−9y−13
+x+8y+13=0
4x−7y−13=0
Hence the point of contact is (5,1) and the equation of common tangent is 4x−7y−13=0.
