Answer:
See the proof below
Step-by-step explanation:
Let the line AB be a straight line on the parallelogram.
A dissection of the line (using the perpendicular line X) gives:
AY ≅ BX
Another way will be using the angles.
The angles are equal - vertically opposite angles
Hence the line AY ≅ BX (Proved)
Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
Answer:
8 + i
Step-by-step explanation:
What you need to simplify this is the following "definitions" of i to different powers.
Now we can sub these in for the various powers of i in our expression:
Simplifying a bit:
Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:
6 - 6i + 2 + 7i
And the final answer, in a + bi form, is
8 + i
(4x + 3y)(4x − 3y) = (4x)^2 -12xy + 12xy - (3y)^2 =
16x^2 - 9y^2
Positive 2 is your slope, (rise over run) if you have to graph it and -1 is your y-intercept
