The answer is A because if you plug in the coordinates (0,0) into y<x^2+2x+1 you get....0<1+2+1. Which simplified is 0<4. For the other equation if you plug in (0,0) you'd get 0≤-3 which is false.
Solve simultaneously:
<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:
Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15. (This is not the only way in which we can do this!!) We get
-90x + 48y = -312
90x +210y = 570
--------------------------
Add all 3 columns together. We end up with:
258y = 258, so y = 1. You can find x by subst. 1 for y in either of the given equations.
If you'd like more help, please be specific about what you want.
Answer:
Sine θ = 5/13
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/13
Adjacent = 12
Hypothenus = 13
Opposite =?
Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5
Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?
Sine θ = Opposite / Hypothenus
Sine θ = 5/13
150 each because he will have $6 left
