Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
Answer:
Half of the persentage were large.
Step-by-step explanation:
So if you do 60 divided by 2, which is 30, and 30 of the buttons are large, then half of 60, (30) are large
No youll lose it if you answer too many
the second one, and the third one
Answer:
x = 1.02.
Step-by-step explanation:
The x is a factor worked out from the annual interest written as a decimal fraction.
So we have 2% = 2/100 = 0.02.
The amount at the end of the first year is $100 + 0.02*100
= $100* 1.02, and in the second year it will be $100* 1.02^t where t = 2 and so on.
So we see that x in the given expression is 1.02.
