a. The general equation for a circle centered at 
with radius 
is
The described circle has equation
We know the circle passes through the origin. This means that the equation above holds for 
and 
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine :
So the circle's equation is
b. If the distance between point B and the center is less than 
, then B lies inside the circle. If the distance is greater than , it falls outside the circle. Otherwise, if the distance is exactly , then B lies on the circle.
The distance from B to the center is
, so 
, which means B falls outside the circle.
Answer:
The three sides have the same length.
Step-by-step explanation:
Answer:
Arsenios prefers pepperoni pizza to cheese pizza.
Step-by-step explanation:
Utils are units of utility that show the satisfaction that a consumer gets from using a product. As Arsenios assigns 70 utils per slice from eating pepperoni pizza versus 50 utils from eating cheese pizza, this indicates that he gets more satisfaction from eating pepperoni pizza and because of that, the answer is that we can conclude that Arsenios prefers pepperoni pizza to cheese pizza.
axis of symmetry is the dashed red lines of the equation/parabola. The symmetry is basically like the mirror of both sides of a parabola.
<h2>
ANSWER: x = 2</h2>
let's call airplanes "a" and helicopters "h".
The total number of models is 35. This means that a+h=35
4 times as many model airplanes as model helicopters. This means a=4h.
we can substitute this into the previous equation:
4h+h=35
5h=35
dividing by 5:
h=7
so he has 7 helicopters and 4*7=28 airplanes
