A and C have only two significant figures. Let me know if it's right :)
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:
y= -54-2
y= -56 &
x= -54/ -9
x= 6
Step-by-step explanation:
y= -9x-2
-9x= y+2 divide bothe side by -9
x=y+2/-9
y= -9(y+2/ -9) -2 = (y+2)-2
y= -2(y+2)
y= -2y-4
y+2y= -4
3y= -4 divide bothe side by 3
y= -4/3
x=y+2/ -9
x= -4/3+2/-9
x= -2/3× -9
x=18/3
x=6
Answer:
A solution set is solving equations and plugging in the values.
Answer:
The entry has an area of __44___ square feet
The total area of the tree house is __345__ square feet
Step-by-step explanation:
Let's first calculate the area of the trapezoid entrance:
The area of a trapezoid is given by:
A =((b1 + b2) * h) / 2
Where b1 and b2 are the bases or parallel sides. So, we have:
A = ((6 + 16) * 4) / 2 = (22 * 4) / 2 = 44 sq ft
Now, let's look at the other areas... which are all rectangles, so easy to calculate (b * h).
Playroom: 16 x 14 = 224 sq ft
Side Deck: 3 x 14 = 42 sq ft
Back Porch: 6 x6 = 35 sq ft
So, in the total area of the tree house is:
TA = 44 + 224 + 42 + 35 = 345 sq ft