The answer is y = -8x - 20. If you were to use y = 8x - 20 then you'd get 4 = -44, which, obviously, is not true. To fix it all you need to do is add a negative sign in front of the 8. y = -8x - 20.
<span>Using: a^2 + b^2 = c^2 (pythagoras theorem)
where 'a' and 'b' are the legs of a right triangle, c is the hypotenuse
</span><span>compare the triangle I just drew to the triangle you have for your problem
</span><span>you'll see that a = unknown b = 18 c = 36
</span><span>a=18sqrt3
=31.2</span>
Cost per ticket for the rides = $1.50.
a) Let us assume the number of ride tickets = x.
Total cost of x number of rides = y.
Total amount spent = $48.75.
Amount spent on 20 tickets = 20 × 1.50 = $30
<em>Fair admission charge = Total amount spent - Amount spent on 20 tickets</em>
<em> = $48.75 - $30 = $18.75.</em>
Let us apply slope-intercept form y=mx+b to get the equation.
Total cost of x number of tickets at the rate $1.50 each ticket = 1.50x.
To<em>tal cost of fair = Total cost of x number of tickets + Fair admission charge.</em>
<h3>b) y = 1.50x + 18.75.</h3>
1. Check the picture attached. We can calculate the area of the orange region G by dividing it into right triangles with both legs equal to 1.
Area of one triangle is 1/2*1*1=1/2 units square.
There are 9 in total, so area G = 9/2 units square.
2. The square has side length equal to 10, so the square area is 100 units square.
3. P(landing in G)=Area of G/total area= (9/2)/100=9/200= 0.045