1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitrij [34]
3 years ago
9

The distance betwen points A = 1 + 1i and B = a + b is 5. Find the point B for each value provided below.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

(a) 4+5i or, 4-3i

(b) 1+6i

Step-by-step explanation:

The distance between the points A= 1+i, and B=a+bi is 5.

Therefore, we can write \sqrt{(a-1)^{2} +(b-1)^{2} } =5

⇒(a-1)^{2} +(b-1)^{2} =25 ..... (1)

(a) If the value of a is 4, then from equation (1), we get

(4-1)²+(b-1)² = 25

⇒ (b-1)² =16  

⇒ b-1 =±4

⇒ b= 5 or -3

Therefore, the point B will be represented by 4+5i or, 4-3i (Answer)

(b) If the value of b is 6, then from equation (1), we get

(a-1)²+(6-1)² = 25

⇒ (a-1)² =0  

⇒ a = 1

Therefore, the point B will be represented by 1+6i. (Answer)

You might be interested in
Use the Distributive Property and simplify the expression. 6+4(3x – 2)+5
Anon25 [30]
First, we need to use the distributive property to simplify the expression.  So, that means we have to multiply the 4 by all of the integers and variables inside the parentheses.  

If done correctly, your expression should be 6+12x-8+5

Next, we should combine all of the constant terms (just numbers without variables), also known as combining like terms.

If done correctly, your expression should be 12x+3.

This matches answer B. 12x+3
8 0
3 years ago
Which division is shown by the model
cupoosta [38]

Answer:

Im prettuy sure its the last one since theyre are 3 parts and thats the only one thats equal

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Four students are running for class president: liz, sam, sue, and tom. the probabilities of sam, sue, and tom winning are 7⁄25 ,
Natali5045456 [20]
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate. 

Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.

Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.

Tom is already in the fraction we like, so just keep this as 21/100. 

Now, add 28/100, 30/100 and 21/100 to get 79/100. 

Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100? 

Another way of going about this is 100/100-79/100. The answer is 21/100

The probability of Liz winning is 21/100. 

Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :) 
8 0
3 years ago
the sum of three consecutive even integers is 36. Let X represent the first integer, x + 2 represent the second integer, and x +
ozzi

Answer:

see explanation

Step-by-step explanation:

Sum the 3 consecutive integers and equate to 36

x + x + 2 + x + 4 = 36

3x + 6 = 36 ( subtract 6 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

The 3 consecutive integers are

10, 10 + 2, 10 + 4, that is

10, 12, 14

7 0
3 years ago
The terms in the sequence decrease by the same amount each time:
luda_lava [24]

Answer:the nth term of the sequence, Tn= -3n +12

Step-by-step explanation:

The nth term of an arithmetic progression is given as

Tn=  a+ (n-1) d

where a= first term

and d = common difference

In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that  the number is decreasing by 3

The first term, a= 9

and common difference, d = -3

using our formulae

Tn=  a+ (n-1) d

Tn= 9 + ( n-1) -3

Tn=9- 3n+ 3

Tn= -3n +12

7 0
3 years ago
Other questions:
  • A medical plan requires a patient to pay a $25.00 copay plus 20% of all charges incurred for a medical procedure. If the average
    13·1 answer
  • If F(x) = 3x + 10x and g(x) = 5x - 3, find (f+g)(x)
    9·1 answer
  • There are a total of 20 dogs and cats at a kennel. if the ratio of the number of dogs to the number of cats at the kennel is 3 t
    7·1 answer
  • If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he remove to
    12·1 answer
  • NEED SOON AS POSSIBLE
    12·1 answer
  • Consider these numbers,ordered from least to greatest.Which values could correctly fill in the blank?Select all that apply.​
    7·1 answer
  • You order 1.5 pounds of turkey at the deli. You will accept the turkey if its weight is between 1.54 and 1.46 pounds. What absol
    14·1 answer
  • You are designing an aquarium that is to have a tank holding 225,000 gallons of water. The tank will be 100 feet long and 20 fee
    9·1 answer
  • How to solve this problem
    5·1 answer
  • Find the value of...<br> a. 91<br> b. 96<br> c. 94<br> d. 92
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!