The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^r
H and k are the x and y coordinates of the center of the circle and r is the radius.
You are given the diameter coordinates so find the halfway point for the center then calculate the radius
Midpoint = (x1 +x2)/2, (y1 + y2)/2
Midpoint = (7 + -1)/2, (-3 +7)/2
Midpoint = 6/2, 4/2
Midpoint = 3,2
So h = 3 and k = 2
Now find radius by finding the distance between the center point and an end point.
Distance = sqrt(41)
Equation of the circle:
(X-3)^2 + (y-2)^2 = 41
Answer: f(x) = 1,024(0.50)^x
Step-by-step explanation:
Hi, to answer this question we have to apply a decreasing rate formula:
f(x)= P (1 - r) ^x
Where:
p = original number of players
r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)
x = rounds
f(x) = number of players after x rounds
Replacing with the values given:
f(x) = 1,024(1-50/100)^x
f(x) = 1,024(1-0.5)^x
f(x) = 1,024(0.5)^x
The correct answer is
m∠B ==101°,
m∠C =79°,
m∠D=101°
Step-by-step explanation:
- As we know that, it is a parallelogram opposite angels are congruent
- Therefore, m∠A = m∠C and m∠B =m∠B
-
As we know that, If side a=79 then side c must also be equal to 79
- When we consider all the angles and add them it must be equal to 360°
- When we add 79+79 = 158°, which mean a=c= 158°
- By subtracting all the sides of parallelogram which is 360- 158= 202°
- If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
- Dividing 202 by 2
= 101°- Therefore, the value of b=d=101°
- A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
- A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
56x² - 49x + 14 = 7(8x² - 7x +2)
_____
The greatest common factor of 56, 49, and 14 is 7.
Answer:
15
Step-by-step explanation:
using the rule of exponents
= 
= 
= 
= 15
