Mathematics: What is the image point of (4,0) after the rotation of 90° counterclockwise about the origin? Please help me:)

What is the image point of (4,0) after the rotation

edgartorres5123

16.03.2022

You divide and get 3/7 meters per second

Step-by-step explanation:

You divide and get 3/7 meters per second

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claytonp7695

02.05.2022

The standard form is =29+11i

Step-by-step explanation:

We need to write the provided expression in standard form

Given expression is (7-5i)(2+3i)

first simplified the (7-5i)(2+3i)

$\mathrm{Apply\:complex\:arithmetic\:rule}:\quad \left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i$

$a=7,\:b=-5,\:c=2,\:d=3$

$=\left(7\cdot \:2-\left(-5\right)\cdot \:3\right)+\left(7\cdot \:3+\left(-5\right)\cdot \:2\right)i$

further simplify

=29+11i

Therefore, the standard form is =29+11i

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