Answer:
it would be -18
Step-by-step explanation:
because you would divide 108 by 6 and you will get -18 each second
Answer
approximately 2.718
Step-by-step explanation
The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718. It has been found that this value occurs so frequently when mathematics is used to model physical and economic phenomena that it is convenient to write simply e.
Answer:
![B" =(-2,1)](https://tex.z-dn.net/?f=B%22%20%3D%28-2%2C1%29)
![D" =(-5,-1)](https://tex.z-dn.net/?f=D%22%20%3D%28-5%2C-1%29)
Step-by-step explanation:
Given
![B =(2,3)](https://tex.z-dn.net/?f=B%20%3D%282%2C3%29)
![D = (5,1)](https://tex.z-dn.net/?f=D%20%3D%20%285%2C1%29)
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
![(x,y)=>(-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%3E%28-x%2Cy%29)
So:
![=> A' = (-1,1)](https://tex.z-dn.net/?f=%3D%3E%20A%27%20%3D%20%28-1%2C1%29)
![=> B' = (-2,3)](https://tex.z-dn.net/?f=%3D%3E%20B%27%20%3D%20%28-2%2C3%29)
![=> C' = (-4,3)](https://tex.z-dn.net/?f=%3D%3E%20C%27%20%3D%20%28-4%2C3%29)
![=> D' = (-5,1)](https://tex.z-dn.net/?f=%3D%3E%20D%27%20%3D%20%28-5%2C1%29)
When a point is translated 2 units down, the rule is:
![(x,y) => (x,y-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%3E%20%28x%2Cy-2%29)
So:
![=> A" =(-1,-1)](https://tex.z-dn.net/?f=%3D%3E%20A%22%20%3D%28-1%2C-1%29)
![=> B" =(-2,1)](https://tex.z-dn.net/?f=%3D%3E%20B%22%20%3D%28-2%2C1%29)
![=> C' = (-4,3)](https://tex.z-dn.net/?f=%3D%3E%20C%27%20%3D%20%28-4%2C3%29)
![=> C" =(-4,1)](https://tex.z-dn.net/?f=%3D%3E%20C%22%20%3D%28-4%2C1%29)
![=> D" =(-5,-1)](https://tex.z-dn.net/?f=%3D%3E%20D%22%20%3D%28-5%2C-1%29)
So, the new coordinates are:
![B" =(-2,1)](https://tex.z-dn.net/?f=B%22%20%3D%28-2%2C1%29)
![D" =(-5,-1)](https://tex.z-dn.net/?f=D%22%20%3D%28-5%2C-1%29)
Complementary angles together form a 90 degree angle. I don’t understand the question to well, but if two angles are next to each other and one of them is ten degrees, the other angle would be 80 is Together they form a right angle. Does my explain make sense? Sorry I hope this helps
Answer:
y = 2x + 12
Step-by-step explanation:
You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.
y2-y1/x2-x1
16-14/2-1 = 2/1 = 2. So our slope equals 2.
If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.
14-2 = 12. --> (0, 12) which is true because we know that the slope is 2.