Calculate the distance between (3 + i) and (3 − i).

Answers

Answer 1
Answer:

Answer:

2 units

Question:

Calculate the distance between (3 + i) and (3 − i).

Step-by-step explanation:

This problem is equivalent to the problem:

"Calculate the distance between the points (3,1) and (3,-1)."

Since the x-coordinates are the same, this is a vertical distance.

A vertical distance be be found by computing the positive difference of the y-coordinates. In other words, we need only the find the distance between the numbers y=1 and y=-1 on a number line.

This distance is 1-(-1)=1+1=2 units.


Related Questions

If rectangles must have right angles, explain how a rhombus could also be called a rectangle.
What is the length of a diagonal of a cube with a side length of 1 cm?
How many quarts can be held in 19 gallons
Question 2A please! :)
If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units, what is the volume of the pyramid? cubic units

78 children attended a trip to California Adventure. 60 of them were boys. Find the ratio of the number of boys to girls, and express this ratio in all three forms. Make sure the fraction form is in lowest terms

Answers

There are 10 boys to 3 girls.

Total number of children: 78
Number of Boys = 60
Number of Girls = 18

Ratio of boys to girls : 60/18 
Simplify the ratio:
60 ÷ 6 = 10 ; 18 ÷ 6 = 3 ⇒ 10/3 or 10:3 or 10 boys to 3 girls

Maria solved the area problem below. What was her error?(
1
2
) (25.5)(30) (
1
5
) = 76.5cm²

Maria solved the area problem below. What was her error?


She found the perimeter.
She forgot to square the scale factor.
She forgot to multiply by One-half for the area of the triangle.
She should have divided by the square of the scale factor.

Answers

Answer:

b

Step-by-step explanation:

Answer:

o my quizlet page its b

Step-by-step explanation:

What is a terminating decimal?

Answers

Answer:

a terminating decimal is a decimal that ends. meaning it will be like 18.5 ot 17.9 and not like 4.3245.....

Answer:

A decimal that ends.

Sven has 11 more than twice as many customers as when he started selling newspapers.He now has 73 customers.How many did he have when he started

Answers

Sven had 31 customers when he first started selling newspapers.

the correct answer to this and im not 100% sure but I think its 51.


Can u guys help me outExamine the polynomial p(x)=6x^3+17x^2−24x−35

Use the Factor Theorem to identify which binomial is a factor of p(x).


a.3x+5

b.2x+7

c.x−1

d.2x−7

Answers

Answer:

Option B, 2x + 7

Step-by-step explanation:

Step 1:  Factor

p(x) = 6x^3 + 17x^2 − 24x − 35

p(x) = (x + 1)(3x - 5)(2x + 7)

Answer:  Option B, 2x + 7

Subtract and simplify.
(-y2 – 4y - 8) – (-4y2 – 6y + 3)

Answers

Answer:

3y^2 +2y -11

Step-by-step explanation:

(-y^2 – 4y - 8) – (-4y^2 – 6y + 3)

Distribute the minus sign

(-y^2 – 4y - 8) +4y^2 + 6y - 3

Combine like terms

-y^2+4y^2 – 4y + 6y - 3-8

3y^2 +2y -11

Answer:

3y^2+2y-11

Step-by-step explanation:

I am guessing for -y2 and -4y2 you meant exponents; it would still get you the same answer though.

-y^2-4y-8 - (-4y2-6y+3)

1.Distribute; -y^2-4y-8 -1(-4y2*-1-6y*-1+3*-1)

you then get; -y^2+(-4y)+(-8) +4y^2+6y+-3

2.Combine like terms; 3y^2+2y-11

Then you get: 3y^2+2y-11.