Answer:
The unit circle centered at the origin in the Euclidean plane is defined by the equation:
Given an angle , there is a unique point P on the unit circle at an angle θ from the x-axis, and the x- and y-coordinates of P are:
Consequently, from the equation for the unit circle:
the Pythagorean identity.
Answer:
(x - 25) / 4
Step-by-step explanation:
In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...
(x - 25) / 4
Answer:
x = 12
y = 4
Step-by-step explanation:
x + y = 16
x - y = 8
y + 8 = x
Replace x with y + 8 in the new equation
8 + 2y = 16 ----> we can minus 8 on both sides
2y = 8 -----> divide both sides by 2
y = 4
Now for the x value
x + 4 = 16 ----> minus 4 on both sides
x = 12
Answer:
<h3>
BC = 29</h3>
Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
