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
Valentin [98]
2 years ago
10

A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
6 0

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that \\ (x+2)^{2}+y^{2}=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=\sqrt{42}. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=\sqrt{42}+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+\sqrt{42}+2. now we know what X is equal to. Now we plug in x for \\ (x+2)^{2}+y^{2}=42, which gives us          (-y+\sqrt42}+2+2)^{2}+y^{2}=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+\sqrt{42}+4+y=\sqrt{42}. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

You might be interested in
Is 3, 1, 1/3, 1/9,... a geometric sequence?
barxatty [35]
a_1;\ a_2;\ a_3;\ a_3;\ ...;\ a_n;\ a_{n+1};...\ is\ a\ geometric\ sequence\\if\ a_{n+1}:a_n=const.\\-------------------\\a_1=3;\ a_2=1;\ a_3=\dfrac{1}{3};\ a_4=\dfrac{1}{9}\\\\a_4:a_3=\dfrac{1}{9}:\dfrac{1}{3}=\dfrac{1}{9}\cdot\dfrac{3}{1}=\dfrac{1}{3}\\\\a_3:a_2=\dfrac{1}{3}:1=\dfrac{1}{3}\\\\a_2:a_1=1:3=\dfrac{1}{3}\\\\Answer:Yes.\ It's\ the\ geometric\ sequence.
7 0
3 years ago
What is the answer ?
maks197457 [2]

Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.

7 0
2 years ago
A bicycle has a listed price of 
Yakvenalex [24]

Answer: 57.9 dollar

891.95 x 6.5%

4 0
3 years ago
Read 2 more answers
Will uses 36.12 ounces of milk to make 9 shakes. About how much milk is in each shake?
bonufazy [111]

Answer:

About 4 oz

Step-by-step explanation:

36.12 is founded to 36. 36 oz /9 milkshakes is 4oz per milkshake.

6 0
2 years ago
Read 2 more answers
What does : mean in a mathematical sentence​
yan [13]

I think division, at least that's how I wrote it in school

6 0
2 years ago
Other questions:
  • According to the Journal of the American Medical Association (JAMA), hospitals that routinely staff with 1:8 nurse-to-patient ra
    11·2 answers
  • Find the value of 5x-10 given that - 2x +7=3.
    13·1 answer
  • HIIIIII 2 QUESTIONS IN THE 2 PICS HELP PLS
    13·1 answer
  • Which of the following types of numbers is not a subset of real numbers? select all that apply. rational numbers even numbers ir
    6·2 answers
  • 2,400 principal earning 2%, compounded annually, after 7 years. Find the balance in the account
    11·1 answer
  • What did I do wrong?
    13·2 answers
  • PLEASEE I NEEEEDD HEELLLPP
    15·1 answer
  • Help me with this please I don’t understand
    12·1 answer
  • Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17
    11·1 answer
  • Solve 4x + 5 = x + 8 please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!