Answer:
M(-5/2, -2)
Step-by-step explanation:
Add the x-coordinates & divide by 2.
Add the y-coordinates and divide by 2.
x-coordinates: -4, -1
(-4 + (-1))/2 = -5/2
y-coordinates: -8, 4
(-8 + 4)/2 = -4/2 = -2
M(-5/2, -2)
Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
Answer:
3/4
Step-by-step explanation:
Due it having a ratio of .75 instead of the .6875 of the other answers.
The hard part of this question is decoding the equation.
![\angle BAC = \arcsin\left( \dfrac{3.1}{4.5} \right)](https://tex.z-dn.net/?f=%5Cangle%20BAC%20%3D%20%5Carcsin%5Cleft%28%20%5Cdfrac%7B3.1%7D%7B4.5%7D%20%5Cright%29)
There's nothing to do but ask the calculator.
![\angle BAC = \arcsin\left( \dfrac{3.1}{4.5} \right) \approx 43.54^\circ](https://tex.z-dn.net/?f=%5Cangle%20BAC%20%3D%20%5Carcsin%5Cleft%28%20%5Cdfrac%7B3.1%7D%7B4.5%7D%20%5Cright%29%20%5Capprox%2043.54%5E%5Ccirc)
Answer: 44°
Answer:
Option B
Step-by-step explanation:
Rewrite each of the options given to us in standard form. That way we can identify the parabola properties of each -
![Standard Form = 4\cdot \:2\left(y-\left(-9\right)\right)=\left(x-8\right)^2,\\\left(h,\:k\right)=\left(8,\:-9\right),\:p=2\\-----------------\\Standard Form = 4\cdot \:2\left(y-8\right)=\left(x-\left(-9\right)\right)^2,\\\left(h,\:k\right)=\left(-9,\:8\right),\:p=2](https://tex.z-dn.net/?f=Standard%20Form%20%3D%204%5Ccdot%20%5C%3A2%5Cleft%28y-%5Cleft%28-9%5Cright%29%5Cright%29%3D%5Cleft%28x-8%5Cright%29%5E2%2C%5C%5C%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%288%2C%5C%3A-9%5Cright%29%2C%5C%3Ap%3D2%5C%5C-----------------%5C%5CStandard%20Form%20%3D%204%5Ccdot%20%5C%3A2%5Cleft%28y-8%5Cright%29%3D%5Cleft%28x-%5Cleft%28-9%5Cright%29%5Cright%29%5E2%2C%5C%5C%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%28-9%2C%5C%3A8%5Cright%29%2C%5C%3Ap%3D2)
Right away you can tell that the second option is correct. The vertex is known to be ( - 9, 8 ) and extends at an exponential rate of 2. This is our solution, <u><em>Option b!</em></u>