Start by looking at the components of the line, basically the legs if you were to make it a right triangle.
components = < x1 - x2, y1 - y2 >
< 10-5 , 12-4 > = < 5 , 8 >
So the line starts at A and goes right 5 then up 8 to point B.
We need a point 3:1 distance which means that if X is our new point, length AX is 3 times length of XB.
3+1 = 4 parts total
Point X will be 3/4 distance
3/4 the components
< 5(3/4) , 8(3/4) > = < 15/4 , 6 >
Add these to point A to go right and up to the new point X.
(5 + 15/4 , 4 + 6) = (35/4 , 10)
35/4 = 8 3/4
so the first one is correct.
Answer:
It add up by 6.
Step-by-step explanation:
6 plus 6 is 12 plus another is 18 and it keeps going.
Using the Associative Property of addition, if you move the parentheses anywhere between a, b, and c, the answer will always be the same. Also, the Commutative Property of addition states that if you move the terms around, the answer is also still the same. So, (a+b)+c is the same as b+(a+c).
To find a decrease using a percentage you:
Original Amount - (Original Amount x Percentage)
So plug in:
32000 - (32000 x 7%) = 32000 - (32000 x 0.07) = 29760
The amount with a 7% decrease is $29,760.
(4+x)+x=22
= 4+2x=22
= 2x = 18
= x = 9.
Gabriel is 9 years old, and Dan is 4 + 9 or 13 years old.