We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
Answer:
ok
Step-by-step explanation:
10 the answer is 10 pemdas
10 - 2x
10 - 2(7)
= 10 - 14
= -4
Answer:
91
Step-by-step explanation:
Two similar polygons, means a similarity would exist in both polygons
- Perimeter of a rectangle = 2(l +w)
- Perimeter of the larger rectangle = 36 (because it's the largest figure)
- equation becomes 36 = 2(L + W)
- since L = 14, it becomes = 36 = 2(14 +W)
- 36 = 28 + 2W
- 2W = 36 - 28 = 2w = 8
Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.
- 21 = 2(L + 4) = 21 = 2L + 8
lastly the product of the length of both polygons = 14 * 6.5 = 91.
Their Products length is 91