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:
%
Step-by-step explanation:
We have that 
of the eggs are cracked, so 
of the eggs are not cracked.
Recall that 
. This means that 
.
Rounding this to the nearest whole percent gives %.
Answer: Point of intersection (0, -2)
Step-by-step explanation:
Answer:
To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.
meiabatten191 helped me out on this question too.
Change in the amount of water in the bathtub after -48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.
<h3><u>Solution:</u></h3>
Given that
A clogged bathtub drains at a constant rate.
The amount of water in the bathtub changes by –3.75 gallons in one hour.
Need to determine change in the amount of water in the bathtub after 13 hour.
Change in amount of water in bathtub in one hour = -3.75 gallons
As given that clogged bathtub drains at a constant rate, so
Change in amount of water in bathtub in 13 hours = 13 x Change in amount of water in bathtub in 1 hours
=> Change in amount of water in bathtub in 13 hours = 13 x ( -3.75 ) = -48.75 gallons
Hence change in the amount of water in the bathtub after -48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.
