Original locations:
Annie: (5, -11)
Barbara: (-7, 13)
Note that the midpoint between two points (x₁, y₁) and (x₂, y₂) is
[(x₁+x₂)/2, (y₁+y₂)/2]
Therefore the meeting place has coordinates
[(5-7)/2, (-11+13)/2] = (-1, 1)
Barbara ends up at (-5, 5).
The positive difference in the y-coordinates between (-1, 1) and (-5, 5) is
5 - 1 = 4
Answer: 4
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
Amount = 10,500(1 + 0.0299) ^ 5
= 12,166.47
Answer:
Identity
Step-by-step explanation:
7+2=2+7
is an identity
Answer: 400
Step-by-step explanation:
500 x 0.80 = 400
