Given:
The point
divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get


On comparing both sides, we get


Multiply both sides by 4.




It can be written as


Therefore, the point P divides the line segment AB in 1:5.
Answer:
B.
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Step-by-step explanation:
-3x+5y-(-6x)+3y
-3x+5y+6x+3y
-3x+6x+5y+3y
3x+2y.
Answer:

Step-by-step explanation:
Let
c -----> the additional amount (in dollars) David will spend
we know that
The word " at most" in this context means "less than or equal to"
The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39
so
The inequality that represent this situation is

solve for c
subtract 22 both sides


The maximum amount he could spend is $17
Answer:
-6 - square root 31, -6 + square root 31