Answer:
Explanation:
A circle whose center is 
and radius 
, has equation:
The center of circle is given as origin 
, therefore:
This circle passes 
, then the radius of circle is the distance 
between origin and
=> 
Substitute 
, 
, and back into original equation:
or
Hope this helps!
:)
Answer:
Step-by-step explanation:
Unit rate = total buttons/ total controllers
Unit rate = 26/2 = 13
Unit rate: 13 buttons per controller
Answer: y = 5x − 11
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3,4) and (2, -1),
y2 = - 1
y1 = 4
x2 = 2
x1 = 3
Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5
To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into
y = mx + c. It becomes
4 = 5 × 3 + c
4 = 15 + c
c = 4 - 15 = - 11
The equation becomes
y = 5x - 11
2.57*10^4 is 1,000,000 times more than 2.57*10^-1
Why?
4-(-1)=5 2
2.57*10^4=25700
2.57*10^-1=0.0257
and
25700
÷ 0.0257
=1000000
and 1000000=10^6
