Answer:
P(5, 1)
Step-by-step explanation:
Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.
AP/PB = 5/3
By algebra:
PB/AP = 3/5
By a rule of proportions:
(PB + AP)/AP = (3 + 5)/5
PB + AP = AP + PB = AB
AB/AP = 8/5
AP/AB = 5/8
The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.
Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.
x-coordinate:
difference in coordinates: |14 - (-10)| = |14 + 10| = 24
5/8 of 24 = 5/8 * 24 = 15
Add 15 to the x-coordinate of point A: -10 + 15 = 5
x-coordinate of point P: 5
y-coordinate:
difference in coordinates: |4 - (-4)| = |4 + 4| = 8
5/8 of 8 = 5/8 * 8 = 5
Add 5 to the y-coordinate of point A: -4 + 5 = 1
y-coordinate of point P: 1
Answer: P(5, 1)
4(2) + 3(4) =
8 + 12 =
20
and your final answer is 20
The Answer to your problem is X=0
Answer:
Step-by-step explanation:
I have the same question :(((
sry
Answer: No, it does not matter.
Step-by-step explanation:
In addition the order does not matter, this is because of the commutative property of the addition, that says that: A + B = B + A
and the associative property, that says that:
A + (B + C) = (A + B) + C
for example, if you have 4 chips and your friend gives you her 5 chips, now you have a total of 4 + 5 = 9 chips.
The case is the same if you have 5 chips and your friend gives you 4 chips, now you have 5 + 4 = 9 chips.
Other example is that:
5 chips + ( 2chips + 1 chip) = 5 chips + 3 chips = 8 chips
(5 chips + 2 chips) + 1 chip = 7 chips + 1 chip = 8 chips
You can see that the order does not matter.
