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
Dafna1 [17]
3 years ago
11

If A(2, x) , B(x, 8) and AB = 3√2 cm, then x = ?

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

x =5

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given the points A(2, x) , B(x, 8) and AB = 3√2

On substituting the given values into the formula;

AB = √(x-2)²+(8-x)²

3√2= √(x-2)²+(8-x)²

square both sides

(3√2)²= (x-2)²+(8-x)²

18 = (x-2)²+(8-x)²

expand

18 = x²-4x+4+64-16x+x²

18 = 2x²-20x+68

2x²-20x+68-18 = 0

2x²-20x+50 = 0

x²-10x+25 = 0

Factorize

x²-5x-5x+16 = 0

x(x-5)-5(x-5) = 0

(x-5)(x-5) = 0

x-5 = 0 an x-5 = 0

x = 5

You might be interested in
HELP HELP HELP PLEASE HELP!!!!!!!!!!!!!! I NEED HELP!!!!!!!!!!!!!!!!!! I need this question answered ASAP!!! I need my grade to
ludmilkaskok [199]
-6 is the right answer.
3 0
3 years ago
Read 2 more answers
Can you help me with this problem?​
hjlf
The answer is going to be A
4 0
3 years ago
The students at Kayla's school are forming teams of three students for a quiz bowl competition. Kayla is assuming that each memb
scZoUnD [109]

There are 2 instances of hhh (all girls) in the 50 trials, so the experimental probability is 2/50 = 4/100 = 0.04.

5 0
3 years ago
Plz help me I can't get these wrong plz help meeeee
Vika [28.1K]

Answer: w<0


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Given: If you live in Orlando, then you live in Florida.
____ [38]

Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

5 0
3 years ago
Other questions:
  • Use guess and check to find two numbers that have the sum of 8 and a difference of 6.
    10·1 answer
  • The mr William two questions please!
    11·1 answer
  • How to work the problem 44,756÷167
    9·1 answer
  • A stadium has 50 comma 00050,000 seats. Seats sell for ​$3030 in Section​ A, ​$2424 in Section​ B, and ​$1818 in Section C. The
    6·1 answer
  • Please answer quick!
    7·1 answer
  • Solve the inequality<br>-6p&lt;12 <br><br><br>Ah this is due by tomorrow
    15·1 answer
  • Geometry question plz help
    13·1 answer
  • May I please receive help?
    14·2 answers
  • Derek and Eric share £30 in the ratio 2:3. How much does Eric get?
    5·1 answer
  • What are people different now than 5 yrs ago
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!