Answer:
43
Step-by-step explanation:
Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
Answer:
Step-by-step explanation:
9/2 is the slope. Slope defines how steep is the straight line.
Slope = change in y ÷ change in x
In this model, 9 refers to the vertical distance between two points
and 2 refers to the horizontal distance between two points.
9/2 is a positive slope. It indicates that if 'x' increases, y also increase.
Answer:
137 cars per hour
Step-by-step explanation:
Since there were 685 cars all together you have to do 685 divided by 5 so that you can get your answer of 137 cars per hour
Answer:
y" = csc(x)[9cot²(x) - csc²(x)]
Step-by-step explanation:
Step 1: Define
y = 9csc(x)
Step 2: Find 1st derivative
y' = -9csc(x)cot(x)
Step 3: Find 2nd derivative
y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)
y" = 9csc(x)cot²(x) - csc³(x)
y" = csc(x)[9cot²(x) - csc²(x)]
