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
)
1. divide each number by 6 and you get 4:3 answer c
2. 1x+4x=45 (the ratios give you how many of each you have)
5x=45 so x=9 that is the smallest number
3. percent means out of 100 so 490/100 4.9
4 percent means out of 100 so .5/100 5/1000 = .005
Answer:
It will take 30 minutes!
Hope this helps! :D
Step-by-step explanation:
The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = 2x – 41
Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.
Then the correct option is C.
More about the domain and range link is given below.
brainly.com/question/12208715
#SPJ1
Integrate the force field along the given path (call it <em>C</em>):
