Answer:
A. {-1, 2, 7}
Step-by-step explanation:
For a set of ordered pairs, the domain is the set of first-numbers (x). The range is the set of second numbers (y, or g(x)).
The first step here is to find the g(x) values for each of the listed x-values.
The attachment shows a table.
Often, we like to list the domain and/or range values in numerical order, eliminating any duplicates. That is, the set of range values {2, -1, -1, 7} would be listed as ...
{-1, 2, 7} . . . . . . matches choice A
_____
You find the g(x) values by substituting for x and doing the arithmetic.
g(-2) = (-2)² -2 = 4 -2 = 2, for example
Dilation with scale factor of 3= E.
translation 3 units up= D.
translation 3 units right= B.
horizontal stretch by a factor of 3= A.
vertical stretch by a factor of 3= C.
translation= its move places, so you are adding
stretch= it changes shape. you can either stretch it horizontally or vertically so you are multiplying
going up and down/ vertically is the y-axis
going left and right/horizontally is the x-axis
hope this helped!
From trigonometry we know that:
if ![sin(\theta)=sin(\alpha)](https://tex.z-dn.net/?f=%20sin%28%5Ctheta%29%3Dsin%28%5Calpha%29%20)
then,
(where
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, ![\alpha=-230^{\circ}](https://tex.z-dn.net/?f=%20%5Calpha%3D-230%5E%7B%5Ccirc%7D%20)
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of
that match.
For n=2, (Equation 2) gives us:
.
Thus, ![sin(230^{\circ})=sin(130^{\circ})](https://tex.z-dn.net/?f=%20sin%28230%5E%7B%5Ccirc%7D%29%3Dsin%28130%5E%7B%5Ccirc%7D%29%20)
Now, we know that: ![-sin(-50^{\circ})=sin(50^{\circ})](https://tex.z-dn.net/?f=%20-sin%28-50%5E%7B%5Ccirc%7D%29%3Dsin%2850%5E%7B%5Ccirc%7D%29%20)
Let n=-1, then:
![\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}](https://tex.z-dn.net/?f=%20%5Ctheta%3D%28-1%29%5Ctimes%20180%5E%7B%5Ccirc%7D%2B%28-1%29%5E%7B-1%7D%28-230%5E%7B%5Ccirc%7D%29%3D-180%5E%7B%5Ccirc%7D%2B230%5E%7B%5Ccirc%7D%3D50%5E%7B%5Ccirc%7D%20)
Thus, ![sin(-230^{\circ})=-sin(-50^{\circ})](https://tex.z-dn.net/?f=%20sin%28-230%5E%7B%5Ccirc%7D%29%3D-sin%28-50%5E%7B%5Ccirc%7D%29%20)
Likewise, ![sin(-230^{\circ})=sin(50^{\circ})](https://tex.z-dn.net/?f=%20sin%28-230%5E%7B%5Ccirc%7D%29%3Dsin%2850%5E%7B%5Ccirc%7D%29%20%20)
Only the last option
will never match
because no integral value of
will ever give ![\theta=-50^{\circ}](https://tex.z-dn.net/?f=%20%5Ctheta%3D-50%5E%7B%5Ccirc%7D%20)
Thus the last option is the correct option.
X = 30 I think as angle on straight line = 180 so 180-103 = 77 , 30+43 = 73 , 77+73 = 150 , 180-150= 30 , then opposite angles are the same so therefore x = 30 degrees
Answer:
a
Step-by-step explanation:
The perpendicular distance from the y- axis is the value of the x- coordinate, so
perpendicular distance is 3 units