Answer:
The coordinates of point k are (-2.8,-3)
Step-by-step explanation:
we shall use the internal division formula to find the coordinates of point k
Mathematically, the formula is as follows;
Let’s call the coordinates of point k (x,y)
(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 1 , n = 4
x1 = 4, x2= -2
y1 = -7 , y2 = 13
Substituting these values in the equation, we have the following;
1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)
(-2+16)/5, (13 -28)/5
= -14/5, -15/5
= (-2.8, -3)
Answer:
6 nonfiction books
Step-by-step explanation:
if it's fiction to non 9:6
if it's non to fiction 6:9
(you may need to simplify)
Answer:
In the attachment
Step-by-step explanation:
<, > - dots line
≤, ≥ - solid line
<, ≤ - shading to the left
>, ≥ - shading to the right
-----------------------------------------------------
We have x > -2
dot line x = -2
shading to the right
Answer:
14. 100
two angles are the same
Step-by-step explanation:
15. 70
both angles
In a parallelogram, opposite sides have the same length.
3x + 9 = 5x -5
group like terms on one side
9 + 5 = 5x -3x
14 = 2x
x is 7.
Since AB is 5x -5
AB = 5(7) -5
AB = 30.
BX is half of the line DB. So BX = DX
5y = 7y - 10
10 = 7y -5y
10 = 2y
y =5.
Since BX = 7y - 10
BX = 7(5) -10
BX = 25