Answer:
(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16
Step-by-step explanation:
1) coordinates of the center
x0=(x1+x2)/2=(7+7)/2=7
y0=(y1+y1)/2=(3-5)/2 = -1
(7, -1) - coordinates of the center
2) radius of the circle
length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8
r = length of the radius = length of the diameter / 2 = 8/2 = 4
3) the equation of the circle
(x-x0)² + (y-y0)²= r²
(x-7)² + (y+1)² = 4²=16
Answer:
5400
Step-by-step explanation:
60 min=1 hour
120 min=2 hr
120 x 45=5400
For f(x), the function uses the following formula:
The y-intercept in this formula is represented by c.
f(x) has a c value of -4, so the y-intercept of f(x) is -4.
For g(x), the y-intercept is found when the graph cross the y-axis.
g(x) cross the y-axis at y = 0, so the y-intercept of g(x) is 0.
For h(x), the y-intercept is found by taking the output at x = 0.
At x = 0, the y value that is output is -2, so the y-intercept is -2.
Compare the three y-intercepts:
The function with the greatest y-intercept is g(x), with a y-intercept of 0.
First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
Answer:?
Step-by-step explanation:
