Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need
So the domain is R\{-2, 2}
d)
we need
So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
Answer:
y = 0
y =2x
Step-by-step explanation:
Given parametric equations:
x (t) = sin (t)
y (t) = sin (t + sin (t))
The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx
(dy / dx) * (dx / dt) = (dy / dt)
(dy / dx) = (dy / dt) / (dx / dt)
Evaluate dx / dt and dy / dt
dx / dt = cos (t)
dy / dt = cos (t + sin (t)) * (1+cos (t))
Hence,
dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)
@Given point (x,y) = 0 we evaluate t
0 = sin (t)
t = 0 , pi
Input two values of t and compute dy / dx
@ t = 0
dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)
dy / dx = (1+1)*(1) / (1) = 2 @ t = 0
@t = pi
dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)
dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi
The corresponding gradients are 0 and 2 in increasing order and their respective equations are:
y = 2x
y = 0
Answer:
210,000
Step-by-step explanation:
20,000 * 6% = 1,200
20,000 + 1,200 = 21,000
21,000 * 10 = 210,000
Therefore your answer is 210,000
12k - 2k +16 you add the 2 and 10 on the first half and the 3 and 13 on the other half
