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Oksanka [162]
3 years ago
13

Simplify the expression 6x + -3x+ 1+ 1

Mathematics
1 answer:
AveGali [126]3 years ago
6 0

3x+2 is the answer.

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Describe the set of points z in the complex plane that satisfy the given equation; |z-2|=Re(z).
OLEGan [10]

Answer:

Parabola with vertex at point (1,0) that goes to the right (see attached diagram).

Step-by-step explanation:

Let the complex number z be

z=x+iy,

then

z-2=x+iy-2=(x-2)+iy\\ \\Re\ (z-2)=x-2\\ \\Im\ (z-2)=y\\ \\|z-2|=\sqrt{Re^2\ (z-2)+Im^2\ (z-2)}=\sqrt{(x-2)^2+y^2}

and

Re\ z=x

Thus,

\sqrt{(x-2)^2+y^2}=x

Square it:

(x-2)^2+y^2=x^2\\ \\x^2-4x+4+y^2=x^2\\ \\-4x+4+y^2=0\\ \\y^2=4x-4\\ \\y^2=4(x-1)

This is the equation of parabola with vertex at point (1,0) that goes to the right.

3 0
3 years ago
Solve 5u– 5(1–u)=u+8
Alekssandra [29.7K]

Answer:

u= -3

Step-by-step explanation:Solve for

u by simplifying both sides of the equation, then isolating the variable.

6 0
3 years ago
Read 2 more answers
Three applications for admission to a local university are checked to determine whether each applicant is male or female. The nu
MAVERICK [17]

Answer:87

Step-by-step explanation:

ITS THE MONSTER MASH

4 0
3 years ago
Moya picked 3 dozen apples she wents to share her apes in equal groups. show how many different way can she do this
lys-0071 [83]

Answer:

Groups of 12, Groups of 4, Groups of 6, Groups of 18

Step-by-step explanation:

12 x 3 = 36

36 splits evenly into 12, 4, 6, and 18 therefore that is your answer.

5 0
3 years ago
Express as a ratio in whole numbers 1/2 : 1/4 : 1/12
Gelneren [198K]

Answer:

6 : 3 : 1

Step-by-step explanation:

Given

\frac{1}{2} : \frac{1}{4} : \frac{1}{12} ( multiply each part by 12 , the LCM of 2, 3, 12 to clear the fractions )

= 6 : 3 : 1

7 0
3 years ago
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