Given
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)
Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2
r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)
=>
r^2=(sqrt(25))^2=25
Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25 ............... standard equation of circle
n mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites. If positive represents movement to the right, negative represents movement to the left. If positive represents above sea level, then negative represents below level. If positive represents a deposit, negative represents a withdrawal. They are often used to represent the magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset, a decrease in some quantity may be thought of as a negative increase. If a quantity may have either of two opposite senses, then one may choose to distinguish between those senses—perhaps arbitrarily—as positive and negative. In the medical context of fighting a tumor, an expansion could be thought of as a negative shrinkage. Negative numbers are used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. The laws of arithmetic for negative numbers ensure that the common sense idea of an opposite is reflected in arithmetic. For example, − − 3 = 3 because the opposite of an opposite is the original thing.
Answer:x-9
Step-by-step explanation:
Simplifying
Solving for variable
Move all terms containing x to the left all other terms to the right
Devide each side by 16
X=9
Answer:
12 dozen
Step-by-step explanation:
create a proportion of: dozen cookies / cups of pecan
let 'd' = dozen cookies
(3/1 ÷ 5/4) = (d ÷ 5)
simplify 3/1 ÷ 5/4 to be: 3/1 x 4/5, which equals 12/5
12/5 = d/5
cross-multiply to get:
5d = 60
d = 12
Answer:
Direction
Step-by-step explanation:
Whether the car slows down or speeds up depends on the direction of the force applied, because if Gordon applied the force opposite the direction of the cart's movement, then the cart will slow down. If however, the force is applied in the direction of the carts movement, then the cart will speed up.
