Answer:
slope intercept form: y = mx + b
6x - 4y = 24
4y = 6x - 24
y = 3/2x - 6
slope: <u>3/2</u>
y intercept: <u>- 6</u>
<span>{(3, 7),(3, 6),(5, 4),(4, 7)}not
{(1, 5),(3, 5),(4, 6),(6, 4)}is
{(2, 3),(4, 2),(4, 6),(5, 8)}not
{(0, 4),(3, 2),(4, 2),(6, 5)}is</span>
Ana has 4 coins with different values(5, 10, 20, 50) and you are asked to find how many different sums they can make. You can see every value as a separate combination and multiply it.
There is 1 coin for every value and it can be either used or not used, so there are two probabilities for each coin value. The calculation would be:
C(2,1)= 2!/1!= 2
There are 4 values of coins, so the total probability would be:
4 * C(2,1)= 4*2=8 ways
Based on the information given, there are 2 possibilities:
1) the hypotenuse is the base of the triangles, sitting on the rectangular pedestal
2) the right angle touches the pedestal, with the base equalling the pedestal length
In 1) it is pretty straightforward, because the right angle is the apex (top). The base is 61m, because the longest side in a right is always the hypotenuse.
So now we need the height (h), which will split the triangle into two 45-45-90 triangles with base and h = 30.5 (1/2 the initial base)
This will make the height off the ground = 30.5+5 = 35.5 m
2) with right angle touching the pedestal, we can only assume that the base equals the pedestal length, 11. Then we need the missing side (h), which we can derive from Pythagorean Theorem:
So in this triangle the height off ground would be 60+5 = 65 m