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AleksandrR [38]
3 years ago
13

7-4i divided by 2+i how to solve it?

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0
\cfrac{7-4i}{2+i}\\\\ = \cfrac{(7-4i)(2-i)}{(2+i)(2-i)} \\\\ =\cfrac{14-7i-8i-4}{4+1} \\\\= \cfrac{10-15i}{5} \\\\= \cfrac{5(2-3i)}{5} \\\\=2-3i
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5 x (h + 3) for h = 2
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Answer:

25

Step-by-step explanation:

If h=2 it would be 2+3 which equals 5. Then multiply 5 by 5 and get 25.

Hope this helps :)

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Step-by-step explanation:

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A B R and P are four points on a circle with centre 0. A O R and C are four points on a different circle. The two circles inters
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Answer:

x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)

Step-by-step explanation:

APRB form a cyclic trapezoid

∠APO  = x° (Base angle of an isosceles triangle)

∠OPR  = ∠ORP (Base angle of an isosceles triangle)

∠ORB = ∠OBR (Base angle of an isosceles triangle)

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Similarly;

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Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR  = ∠ORP we put

We also have;

∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)

Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR

Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.

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3 years ago
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