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:
10
Step-by-step explanation:
let the lengths of sides=x (each)
x²+x²=(10√2)²
2x²=100×2
x²=100
x=√100=10
Answer:
12 picks total
Step-by-step explanation:
1. multiply 2 (orange picks) by 4 (green picks)
2*4=8 total orange picks
2. add green picks (4) + orange picks (8)
4+8=12
I’m not for sure of the answer but i do know that the two subtractions in the middle would turn into a + and i think you add the -5/8 + 3/10
Answer:
A. -41/15.
Step-by-step explanation:
15x^2 + 23x - 41 = 0
Product of the roots of ax^2 + bx + c = c/a.
Thus the product of the roots of this equation = -41/15.
