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EastWind [94]
3 years ago
9

If x= -5+6i and y= 3-2x, then which of the following is the value of the expression 4x-y

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

y=3-2x\\\\4x-y=4x-(3-2x)=4x-3+2x=6x-3\\\\\text{Put}\ x=-5+6i\ \text{to the expression}\ 6x-3:\\\\6(-5+6i)-3\qquad\text{use distributive property}\\\\=(6)(-5)+(6)(6i)\\\\=-30+36i\\\\Answer:\ \boxed{4x-y=-30+36i}

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If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom
ipn [44]

Answer:

The fraction is\frac{7}{1}

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = \frac{x}{y}

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes :\frac{x+2}{y+1}=\frac{3}{4}

4(x+2)=3(y+1)

4x+8=3y+3

4x-3y+5=0----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes :\frac{x-2}{y-1}=\frac{1}{2}

2(x-2)=y-1

2x-4=y-1

2x-y-3=0 ---- 2

Substitute the value of y from 2 in 1

4x-3(2x-3)+5=0

4x-6x+9+5=0

14=2x

7=x

Substitute the value of x in 2

2(2)-y-3=0

4-3=y

1=y

So, Fraction = \frac{x}{y}=\frac{7}{1}

Hence The fraction is\frac{7}{1}

7 0
3 years ago
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tia_tia [17]
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7 0
3 years ago
If Cos 30° equals rad 3/2 then the sin 60° equals <br><br> a) 0<br> b) 1/2<br> c) rad 3/2<br> d) 1
vovangra [49]

Answer:

c) rad 3/2

Step-by-step explanation:

If Cos 30° equals rad 3/2 then the sin 60° equals rad 3/2.

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4 years ago
La casa de prestamos la mejor cobra el 7% de interes mensual.Es decir por cda 100 paga solo 7 pesos
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Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado que :

Los mejores cargos por préstamos hipotecarios:

Interés mensual = 7%

Intereses pagados sobre capital de 100 pesos

Intereses pagados = principal * tasa de interés

Intereses pagados = 100 * 7%

Intereses pagados = 100 * 0.07

Intereses pagados = 7 pesos

De ahí que los intereses pagados por un préstamo de 100 pesos sean 7 pesos

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3 years ago
1 As a part of her project, Flora made a scale drawing of the zoo with a scale factor of
Aneli [31]

Answer:

honestly I have no idea

Step-by-step explanation:

1x-3x=2x

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