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3 years ago

What is the distance between z 1 = 2 + 9i and z 2 = 2 - 4i?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Distance formula: SR (A^2+B^2)
SR [(2+9i)^2 + (2-4i)^2] =
SR [4 + 18i + 81i^2 + 4 - 8i + 16i^2] =
SR [8 + 10i + 97i^2]

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Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ

JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

$(-4x+9)^2$

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

$ax^2+bx+c$

The given expression can be solved as,

$(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81$

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0

2 years ago

Can someone please help

andre [41]

Answer:

x ≥ 1 (how to graph is listed below)

Step-by-step explanation:

To find where we need to plot the line, we first need to solve the inequality for x:

-2x - 3 ≤ -5

(Add three to both sides)

-2x ≤ -2

(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)

x ≥ 1

To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)

Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)

8 0

3 years ago

Lin needs to save up $20 for a new game. How much money does she have if she has saved 75% of her goal?

Nataly [62]

Answer: She has $15

Step-by-step explanation:

20*0.75=15

6 0

3 years ago

Read 2 more answers

Select True or False to correctly classify each inequality.

Ksivusya [100]

<h2>Answer:</h2>

1. FALSE

2. TRUE

3. FALSE

4. TRUE

<h2>Step-by-step explanation:</h2>

6≤-6 = False

-3<3 = True

2.9>2.9 = False

4.5≥4.5 = True

I Hope That This Helps You GOOD LUCK

3 0

2 years ago

An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours

lianna [129]

Answer:

let x equal the service charge.

let y equal the per hour charge.

for the job that cost 450, the equation is 450 = x + 6y

for the job that cost 330, the equation is 330 = x + 4y

these two equations needs to be solved simultaneously.

subtract the second equation from the firs to get 120 = 2y

solve for y to get y = 60.

in the first equation, replace y with 60 to get 450 = x + 6*60.

simplify to get 450 = x + 360.

subtract 360 from both sides of the equation to get 90 = x.

it appears that the service charge is equal to 90 and the per hour charge is equal to 60.

for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.

for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.

the numbers check out.

the service charge is 90.

the per hour charge is 60.

i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.

Step-by-step explanation:

4 0

2 years ago