Answer:
9.4 units
Step-by-step explanation:
Step one:
given data'
We are given the coordinates
x1=4.2
x2=-5.2
y1=-2
y2=-2
Required
The distance between the points
Step two:
The expression for the distance is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-5.2-4.2)²+(-2+2)²)
d=√((-9.4)²
d= √88.36
d= 9.4 units
So pemdas
square root of 9 means 9^(1/2) so it counts as an exponent so
9=3 times 3 so square root of 9=3
square root of 25
do pemdas so exponents before division
25=5 times 5 so
square root of 25==5 so
3/5=0.6
X=15. This is the Altitude theorem which is Altitude/Part = Altitude/Other part. In this question you would set up the proportion 9/X = X/25 and multiply cross products to get 225=X^2. Then you undo X^2 by doing the square route of 225 and then you get 15 as the final answer.
The function is in polar coordinates.
When this is the case, to pass to rectagular (cartesian) coordinates you use:
x = r cos(theta)
y = r sin(theta)
Then,
x = [2cos(theta) + 2sin(theta)]cos(theta) =
= 2 [cos(theta)]^2 + 2sin(theta)cos(theta) = 2 [cos(theta)]^2 + sin(2theta)
y = [2cos(theta) + 2sin(theta)]sin(theta) =
= 2 cos(theta)sin(theta) + 2[sin(theta)]^2 = sin(2theta) + 2[sin(theta)]^2
