Find th midopint
the mindpoint of 2 points (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
so midpoint is ((4+2)/2,(1-5)/2)=(6/2,-4/2)=(3,-2)
now find the slope of the line
it is perpendicular to the line with (4,1) and (2,-5)
find the slope of th eline passing through (4,1) and (2,-5)
slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
so the slope between (4,1) and (2,-5) is
(-5-1)/(2-4)=-6/-2=3
perpendicular lines have slopes tha tmuliplty to get -1
3 times what=-1
what=-1/3
so what is the equation of a line that passes through the point (3,-2) and has a slope of -1/3
the equation of a line that has a slope of m and passes through (x1,y1) is
y-y1=m(x-x1)
so
y-(-2)=-1/3(x-3)
y+2=-1/3(x-3)
if we want slope intercept form
y+2=-1/3x+1
y=-1/3x-1
if we want standard form
1/3x+y=-1
x+3y=-3
Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99
Answer:
below
Step-by-step explanation:
a. A mile is approximately 1.609 kilometers
b. There are aproximately 0.621 miles in a kilometer
Answer: it will take 4 months for the amount to be the same and the amount would be $95
Step-by-step explanation:
Let x represent the number if months it will take for the two accounts have the same amount of money.
Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be
10x + 55
Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be
15x + 35
For the amount in the accounts to be the same, the number of months would be
15x + 35 = 10x + 55
15x - 10x = 55 - 35
5x = 20
x = 20/5
x = 4
The amount would be
15 × 4 + 35
= 60 + 35
= $95
THe answer is the second option because you have to use the pythogorean theorm to fing the 3rd side and multiply your answer by 2 to get the value of x.