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fiasKO [112]
3 years ago
14

1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is

16 meters and its length is 2 meters more then twice its width 3)Find the real numbers x and y that make the equation true.
-3 + yi = x + 6i
Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0
(2x)^4=16x^4
------------------------------------------
2(l+w)=16\\
l=2w+2\\\\
2(2w+2+w)=16\\
6w+4=16\\
6w=12\\
w=2\\\\
l=2\cdot2+2\\
l=6

-------------------------------------------
-3+yi=x+6i\Rightarrow x=-3 \wedge y=6
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Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu
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a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

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AM = 4n + 6/2

AM = 2n + 3

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Următorul pas este să calculați OC;

OC = 6n + 6

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Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

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