Answer:
(x-8y)^2
Step-by-step explanation:
I used a calculator
Answer:
Step-by-step explanation:
Given:
The equation of the known line is:
A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is 
.
Therefore, the slope of the unknown line is also 
Now, for a line with slope 'm' and a point on it 
is given as:
Here, 
. Therefore,
Hence, the equation of the unknown line is .
Answer:
S’ (-5,-3)
T’ (4,-6)
U’ (-3,-7)
Step-by-step explanation:
Basically, we want to apply the given transformation rule of the axes to get the coordinates of the images
The rule is that we subtract 1 from the x-coordinates and also subtract 5 from the y-coordinates
Thus, we proceed as follows;
S’ = (-4-1, 2-5) = (-5,-3)
T’ = (5-1, -1-5) = (4,-6)
U’ = (-2-1,-2-5) = (-3,-7)
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
