Bisects means to separate in equal parts, meaning each part is equal. This means the equations on each side of the line are equal. Once you equate them, you combine like terms finding your answer.
1) 2x+ 3=x+7
-x -x
x+3 = 7
-3 -3
Answer: x=4 (do this for the others)
2) x=7/2
3) x=5/2
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
450miles
Step-by-step explanation:
Because she is riding at 20 miles per houre means that she ride 450 miles in 5 houre.
B
explanation: cuz i said so
you're welcome
Answer: This is <u>not</u> a function
Why not?
The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.
Put another way: we cannot have x repeating any values if we want a function.
Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).