<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)
Factorize out (4 -3i)
(4 -3i)( (5 +2i) - (5 -2yi) )
= </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>
= </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>
= (4 -3i)(2i + 2yi)
= (4 - 3i)(2 + 2y)i. Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
= 8 - 6i + 8y - 6yi
= 8 + 8y - 6i - 6yi
(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
= 8i + 8yi - 6i² - 6yi²
= 8i + 8yi - 6(-1) - 6y(-1)
= 8i + 8yi + 6 + 6y
= 6 + 6y + 8i + 8yi
= (6 + 6y) + (8 + 8y)i In the form a + bi
Answer:
8/25
Step-by-step explanation:
8/25 • 2/1 = 16/25. To work this backward, you need to know that any whole number can be converted into a fraction by putting the number over one. 2 = 2/1. divide 16 by 2 and you get 8, and that 8 goes over 25. Then, set up your equation. 2/1 • 8/25 = 16/25.
Answer:
Option D.
Step-by-step explanation:
It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).
Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is
Now,
The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).
Therefore, the correct option is D.
Answer:
40 degrees
Step-by-step explanation:
Look at the attachment