Answer:
<u>(</u><u>-3.5, 2.3</u><u>)</u>
Step-by-step explanation:
Let the point P have coordinates : (x, y)
The line (from R to Q) is divided in the ratio :
Coordinates of :
Using section formula :
- x = mx₂ + nx₁ / m + n
- x = 5(-5) + 1(4) / 5 + 1
- x = -21/6 = -7/2
- x = -3.5
- y = my₂ + ny₁ / m + n
- y = 5(3) + 1(-1) / 5 + 1
- y = 14/6 = 7/3
- y = 2.3
The coordinates of the point P are : <u>(</u><u>-3.5, 2.3</u><u>)</u>
I’m pretty sure it’s the 3rd one
Its i think going to be 290 seconds
The triangle height is calculated by Pythagorean Theorem
height^2 = 15^2 - 9^^2
height^2 = 225 - 81
height^2 = 144
height = 12
We can calculate the value of Angle a
cosine (a) = adj / hyp = 9/15 = .6
arc cosine (a) = 53.13 degrees
angle b = 180 -90 -53.13
angle b = 36.87 degrees
tangent b = height / x
tangent 36.87 = 12 / x
x = 12 / .75
x = 16
Yes, it's just that "simple" LOL