1,831 centimeters
Just multiply the number of meters by 100 to get your answer
When rates are expressed as a quantity of 1, such as 2 feet per second<span> or </span>5 miles per hour<span>, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.</span>
Answer: 0, π, 2π
Nevertheless, that is not an option. I see two possibilities: 1) the options are misswirtten, 2) the domain is not well defined.
If the domain were 0 ≤ θ < 2π, then 2π were excluded of the domain ant the answer would be 0, π.
Explanation:
1) The first solution, θ = 0 is trivial:
sin (0) - tan (0) = 0
0 - 0 = 0
2) For other solutions, work the expression:
sin(θ) + tan (-θ) = 0 ← given
sin (θ) - tan(θ) = 0 ← tan (-θ) = tan(θ)
sin(θ) - sin (θ) / cos(θ) = 0 ← tan(θ) = sin(θ) / cos(θ)
sin (θ) [1 - 1/cos(θ)] = 0 ← common factor sin(θ)
⇒ Any of the two factors can be 0
⇒ sin (θ) = 0 or (1 - 1 / cos(θ) = 0,
sin(θ) = 0 ⇒ θ = 0, π, 2π
1 - 1/cos(θ) = 0 ⇒ 1/cos(θ) = 1 ⇒ cos(θ) = 1 ⇒ θ = 0, 2π
⇒ Solutions are 0, π, and 2π
In fact if you test with any of those values the equation is checked. The only way to exclude one of those solutions is changing the domain.
Answer:
If we have a function f(x) that has an inverse g(x), we have the relations:
f( g(x)) = x
g( f(x)) = x
Then if the coordinates for the function f(x) are points like (x₁, y₁)
The coordinates for the inverse, g(x), will be (y₁, x₁)
Now let's look at the table, here we can see that the coordinates for f(x) are:
(0, 650)
(100, 550)
(200, 450)
(340, 310)
(650, 0)
Then the coordinates of the inverse function will be:
(650, 0)
(550, 100)
(450, 200)
(340, 310)
(0, 650)
Answer: 20
Step-by-step explanation:
2x^2 + 4y=
2(2)^2 + 4(3)=
2(4)+12=
8+12=20
