The two lines are tangent to the circle at points that are 180 degrees apart.
Let Alex's age is x and June's age is y y - x = 7 .........(1)
(x+5) + (y+5) =31
x + y = 21 .........(2)
by adding 1 and 2
2y = 28
y = 14
x = 7
If you want to calculate 18/4.52, you can do this using the following steps:
18/4.52 = 18 / 4 52/100 = 18 / 452/100 = 18 * 100/452 = 1800/452 = 450/113 = 3.98
The correct result is 3.98.
Total points scored=72(2)+9
=153
Mean=153/7
=21 6/7
=21.9 (3s.f.)
Answer:
The x-coordinate of A is:
a = 6.1
Step-by-step explanation:
For point A:
x-coordinate = a
x-coordinate + y-coordinate = 14
y-coordinate = 14 - x-coordinate
y-coordinate = 14 - a
So point A can be written as (a, 14-a)
Let (a,14) be (x₁,y₁)
Point P can be written as (3a, a²+13a-11)
Let P be (x₂,y₂)
Slope of a line passing through 2 point is given as:
where m=7
Substitute all values
As A has only positive coordinates
a = 6.1