With what do you need help with??
Solution:
<u>Note that:</u>
- 3x + 50 = 6x - 10 (Vertically opposite angles)
Simplify the equation to find x.
<u>Add 10 both sides.</u>
- 3x + 50 = 6x - 10
- => 3x + 50 + 10 = 6x - 10 + 10
- => 3x + 60 = 6x
<u>Subtract 3x both sides.</u>
- 3x + 60 = 6x
- => 3x - 3x + 60 = 6x - 3x
- => 60 = 3x
<u>Divide 3 both sides.</u>
- 60 = 3x
- => 60/3 = 3x/3
- => x = 20
B (if annual interest),
200+12%=224
224+12%=250.88
L1: 2x+4y-3=0 ..........(1)
P: (2,0)
The point on the line L1 closest to the given point P is at the intersection of L1 with L2, which is the perpendicular passing through P.
Slope of L1=-2/4=-1/2
Slope of L2=-1/(-1/2)=2
Since it passes throug P(2,0), we can use the point-slope formula:
(y-0)=2(x-2) =>
L2: 2x-y-4=0.............(2)
Solve for x & y using (1) and (2) to get intersection point required:
(1)-(2)
2x-2x + 4y-(-y) -3 -(-4) =0
5y=-1, y=-1/5
Substitute y=1/5 in equation (1)
2x+4(-1/5)-3=0 =>
2x-19/5=0
x=19/10
=> the point on L1 closest to (2,0) is (19/10, -1/5)
