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3 years ago

3. Write the inequality that best represents the relationship shown on this number line:

Mathematics

2 answers:

Fittoniya [83]3 years ago

8 0

Bbbgfgjjhfynvhggikksdvbb

zzz [600]3 years ago

6 0

We can’t help if we don’t have context...where’s the number line.

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Solve <br> 2z = modulus of z + 2i

Marta_Voda [28]

I assume the equation is

$2z=|z|+2i$

then let $z=x+iy$ .

$2x+2iy=\sqrt{x^2+y^2}+2i$

$2x+2i(y-1)=\sqrt{x^2+y^2}$

The right side is real-valued and positive, and only on the left side do we have an imaginary term, which tells us

$2(y-1)=0\implies y=1$

Then

$2x=\sqrt{x^2+1}$

$4x^2=x^2+1$

$3x^2=1$

$x=\pm\dfrac1{\sqrt3}$

but again we omit the negative solution, so that

$\boxed{z=\dfrac1{\sqrt3}+i}$

4 0

3 years ago

Add. 7/4+9/-5 wrote your answer as a fraction in simplest form

IgorLugansk [536]

Answer:

7/4 + 9/-5 =

Since the denominator of the second fraction is negative the sign will change from negative to positive

We will get

7/4 - 9/5

First find the LCM

LCM of 4 and 5 is 20

7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

We get

35 - 36/20

= -1/20

Hope this helps

5 0

3 years ago

Read 2 more answers

Autumn spent a third of her weekly allowance on a shirt she liked. In order to earn more money her parents allowed her to mow th

marissa [1.9K]

:11
Your welcome have a good day

3 0

3 years ago

One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric c

Digiron [165]

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

$\frac{3y}{3} = \frac{3240}{3}$

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

$\frac{2x}{2} = \frac{1760}{2}$

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

7 0

4 years ago

Simplify (x4 – 3x3 – 11x2 + 3x + 10) (x – 5)

djverab [1.8K]

Answer: -17+3x

step by step:

4-3x3-11x2+3x+10

4-9-11x2+3x+10

4-9-22+3x+10

-17+3x

5 0

3 years ago