<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:
the solution is (9, -1).
Step-by-step explanation:
graph the two equations on a graphing calculator (i use a website called desmos) and the point of intersection is the solution.
i hope this helps! have a great day <3
Step-by-step explanation:
given
900m = 2.700
m = 2.700 / 900
m = 0.003
Hope it will help :)
Answer: 5
The Distance between the coordinates of two points is measured by distance formula.
Step-by-step explanation:
The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by
Distance PQ=
(x2-x1)²+(y2-y1)²
So, the distance between (-1,4 ) and (2,0) can be calculated by
Distance=
(2-(-1))²+(0-4)²
=
(3)²+(-4)²
=
9+16 =
25 as
25 = 5
Distance = 5
So the distance between the two coordinates is 5.