Answer:
or
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (5,7).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (5,7) and (x,y) = (10,19) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(10 - (5))^2 + (19 - (7)^2 = r^2
(5)^2 + (12)^2 = r^2
25 + 144 = r^2
r^2 = 169
r = 13
The blank is 25.
Tip: There is already 25, so there is only 50. But they want half so, half of 50 is 25.
I hope you understand.
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
Answer:
N(t) = 0.188t + 22.76
Step-by-step explanation:
Number of licensed drivers in 2004 = 22.76 million
Number of licensed drivers in 2009 = 23.7 million
Number of licensed drivers, N as a function of t since year 2004 ;
General form of a linear function :
y = mx + c
c = intercept ; m = slope
Intercept c = value of y ; when x = 0
Here, population after uerssmmx,
Hence,
In 2004 ;
22.76 = mx + c
x = 0
22.76 = c
Number in 2009
x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years
We can find the slope :
y = m*5 + 22.76
y = 23.7 in 2009
23.7 = 5m + 22.76
23.7 - 22.76 = 5m
m = 0.94 / 5
m = 0.188
Hence, the linear function can be written as :
N(t) = 0.188t + 22.76
