The true question should be like this:
<span>What is the center and radius of the following circle: x^2 + (y _ 6)^2 = 50,
circle quation formula is (x-a)^2 + (y-b)^2 = R², so by identifying each term, we find </span>(x-a)^2=x^2 = (x-0)^2, (y-b)^2= (y _ 6)^2, R² = 50, implies R =5sqrt(2),
it is easy to identify that the center is (a,b)= (0, 6)
the radius is R =5sqrt(2),
Assuming the typewriter-looking words are the line names...
1. Line R
2. Line Q (Or R, but it is most likely Q)
3. Points E and F
Collinear Meaning: http://mathworld.wolfram.com/Collinear.html
Answer:
27 years
Step-by-step explanation:
The formula for the number of payments can be used:
N = -log(1 +0.05(1 -1000000/65000))/log(1.05) +1 = 27.03
There will be a couple thousand dollars left after the 27th payment.
The winnings will last 27 years.
Step-by-step explanation:
the general line equation format is
y = ax + b
a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.
(i)
A (3, 5)
B (5, 9)
x changes by +2 (from 3 to 5).
y changes by +4 (from 5 to 9).
so, the slope (or gradient) is +4/+2 = 2
(ii)
the semi-finished equation is
y = 2x + b
let's use A to get b :
5 = 2×3 + b = 6 + b
b = -1
and the full equation is
y = 2x - 1
(iii)
for point (4, k) we get
k = 2×4 - 1 = 8 - 1 = 7
