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saw5 [17]
4 years ago
11

Add the complex numbers. (5-2i)+(2+4i)

Mathematics
1 answer:
Ksju [112]4 years ago
3 0

Answer:

2i + 7

Step-by-step explanation:

Given

(5 - 2i) + (2 + 4i) ← remove parenthesis

= 5 - 2i + 2 + 4i ← collect like terms

= 2i + 7

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OABC is a tetrahedron and OA=a, OB=b, and OC=c. The point P and Q are such that OA =AP and 2OB = BQ. The point M is a midpoint o
kondaur [170]

Given

.OABC is a tetrahedron

OA=a, OB=b, and OC=c.

point P and Q are such that OA =AP and 2OB = BQ

point M is a midpoint of PQ.

Find AB ,PQ, CQ ,QM ,MB ,OM in terms of a, b, and c.

To proof

we proof this by using the Triangle law of vector addition

when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of the third side of that triangle represents in magnitude and direction the resultant of the vectors.

by using the diagram as shown below

 \vec{OA}=\vec{a}, \vec{OB}=\vec{b}\\\vec{OP}=2\vec{a},\vec{OQ}=3\vec{b}

\vec{OA}+\vec{AB}=\vec{OB}\\\vec{AB}=\vec{b}-\vec{a}

\vec{OP}+\vec{PQ}=\vec{OQ}\\\vec{PQ}=3\vec{b}-2\vec{a}

\vec{OC}+\vec{CQ}=\vec{OQ}\\\vec{CQ}=3\vec{b}-2\vec{c}\\\vec{QM}=-\frac{1}{2}\vec{PQ}\\

\vec{QM}=\vec{a}-\frac{3}{2}\vec{b}\\\vec{OM}=\vec{OQ}+\vec{QM}

\vec{OM}=\vec{a}+\frac{3}{2}\vec{b}\\\vec{MB}=-\vec{a}-\frac{1}{2}\vec{b}

hence proved




     



6 0
3 years ago
The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
noname [10]
The correct answer is B. s = √81 in. Hope I helped!
5 0
4 years ago
Read 2 more answers
Why are units of area inappropriate to measure volume?
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Area accomodate just the surface of a figure ( Length and width ) while Volume accomodate
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4 years ago
A contractor is building a new subdivision on the outside of a city. He has started work on the first street and is planning for
sergeinik [125]

Answer:

x + y = 6

Step-by-step explanation:

Standard Form:

y - y1 = m(x - x1)

In this question, the coordinate is (1, 5) with a slope of -1 (the slope is the same as street 1 since street 2 is going to be parallel.

Insert the coordinate and slope into standard form and you'll get this:

y - 5 = -1 ( x - 1 )

y - 5 = -x + 1

y = -x + 6

y + x = 6

hope this helps.

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The collection of natural numbers is an example of an element
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