Answer:
y = 40 / sqrt(pi)
Step-by-step explanation:
The area is 400
We want to find the diameter
400 = pi r^2
Divide each side by pi
400/ pi = r^2
Take the square root of each side
sqrt(400/ pi) = sqrt(r^2)
20/ sqrt(pi) = r
The diameter is twice the radius
2 r = d
2 * 20/ sqrt(pi) = d
40 / sqrt(pi) =d
y is the diameter so
y = 40 / sqrt(pi)
If an equation has the same slope it will always be parallel so which y=1/2x-1 then y=1/2x+2
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
y = tan(2x - π)
y = tan (2*(x-π/2))
We can compare it to its parent function
g(x) = tan(x)
The answer is
Option a.
Horizontal shrink by 1/2 and horizontal shift of π/2 to the right
Answer:
7
Step-by-step explanation:
first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".
set 3x-4 and x+10 equal to each other:
3x-4=x+10
next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:
2x-4=10
then, we would get the 2x by itself. we would do this by adding 4 to both sides:
2x=14
finally, we would divide each side of the equation by 2 to find x:
x=7.
The number is 7.
Answer:
O The value of f(2) is smaller than the value of f(1).
Step-by-step explanation:
First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)
