Answer:
64z^2
Step-by-step explanation:
(-8z)^2= 64z^2 because we square -8 and square z
2x - 2y = -12
4x - 7y = -15
Multiply the first equation by -2 to make the 2x the opposite of 4x:
2x - 2y = -12 x -2 = -4x + 4y = 24
Now add this to the second equation:
-4x + 4y = 24 + 4x - 7y = -15:
-3y = 9
Divide both sides by -3
y = 9 / -3
y = -3
Now you have Y, replace y in one of the equations and solve for x:
2x - 2(-3) = -12
2x +6 = -12
Subtract 6 from both sides:
2x = -18
Divide both sides by 2:
x = -18 /2
X = -9
Check:
2(-9) - 2(-3) = -12
-18 + 6 = -12 TRUE
4(-9) - 7(-3) = -15
-36 +21 = -15 TRUE
X = -9, y = -3
(-9,-3)
The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.
<h3>How to depict the transformation?</h3>
It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).
In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..
In this situation, since the rotation is a rigid motion, the two shapes are congruent.
Learn more about transformation on:
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3* tan(x) - root(3) = 0
3* tan(x) = root(3)
tan(x) = root(3) /3 = 0.577
x = tan^-1(0.577) or atan(0.577)
x = 30 degrees