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Kisachek [45]
3 years ago
5

Beau has decided to use the method of elimination to solve the system of equations as shown below.

Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

Answer:

Step-by-step explanation:

Usually when we solve using elimination we have to multiply one equation by a certain number so that when we add them together one term will cancel with another. Here its already done for us. So, the first step that Beau should do in this case, is to add the two equations together so that -3y and +3y will cancel out and become 0. That leaves us with this- being an equation we can solve: 3x = 18. The technique of using elimination is useful because by manipulating one equation so that one variable term (meaning a term with x and y) will cancel with another we can have an equation with only one variable that we can solve. After solving that equation we can then plug that value back into one of the original equations and then solve for the other value, in this case the value for y.

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The table below represents the equation: y = 1.5x – 2 If you completed this table, would each input have exactly one output? yes
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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
julia-pushkina [17]

Răspuns:

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

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

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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3 years ago
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Alex Ar [27]

The answer should be obtuse. I'm not sure why it is saying it's incorrect but none of the other answers make sense.

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