False
A chord touches the circle at 2 points.
Answer:
The equation of the line is y = 1/4x - 4
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -3)/(0 - 4)
m = -1/-4
m = 1/4
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - -4 = 1/4(x - 0)
y + 4 = 1/4x
y = 1/4x - 4
To find the distance between the points given in the figure of the problem above, you must apply the formula for calculate the distace between two points, which is shown below:
d=√[(x2-x1)^2+(y2-y1)^2]
When you substitute the values, you obtain:
d=√[(x2-x1)^2+(y2-y1)^2]
d=√[(-1-2)^2+(-5-5)^2]
d=10.4
The answer is:10.4
Answer:
B) x = 2, y = 1
Step-by-step explanation:
Add the two equations to eliminate the x-variable.
(x +3y) +(-x +6y) = (5) +(4)
9y = 9 . . . . . . .simplify
y = 1 . . . . . . . . divide by 9
You can substitute this value into either equation to find x.
x + 3(1) = 5
x = 2 . . . . . . . . subtract 3
The solution is (x, y) = (2, 1).
Answer: 1.509
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
Given : Sample size : n= 22
Level of confidence = 0.99
Significance level : 
Using the t-distribution table ,
Critical value : 
Standard deviation: 
Then, we have
Hence, the margin of error for a 99% confidence interval for the population mean =1.509
