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
VMariaS [17]
3 years ago
15

If x + y = 4 and x2 − y2 = 64, what is the value of (x − y)?

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

The value of (x-y) is 16

Further explanation:

We have to use the given values to find the value

Given

x+y=4\\and\\x^2-y^2=64

We will use:

x^2-y^2=64

Simplifying by using: x^2-y^2=(x+y)(x-y)

So,

(x+y)(x-y)=64

As we know that x+y=4

Putting the value in equation

(4)(x-y)=64

Dividing both sides by 4

\frac{4(x-y)}{4}=\frac{64}{4}\\x-y=16

The value of (x-y) is 16

Keywords: Algebraic formulas, Simplification

Learn more about algebraic expressions at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

You might be interested in
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

  • The chance of having a boy is 0.5,
  • the chance of having a girl is also 0.5.

<u>Outcome 1: all boys</u>

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 2: first child is a girl, all others are boys</u>

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 3: second child is a girl, all others are boys</u>

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 4: third child is a girl, all others are boys</u>

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 5: fourth child is a girl, all others are boys</u>

boy   boy   boy   girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0
1 year ago
Write the decimal 40.99 in word form
Svetach [21]
Forty and ninety nine hundreths

8 0
3 years ago
Read 2 more answers
A line has x-intercept of 6 and y-intercept of -4.Find the slope of the line.
Zigmanuir [339]

x-intercept is 6, coordinates (6,0)

y-intercept -4, coordinates (0,-4)

gradient= y1-y2/x1-x2= 0-(-4)/6-0= 4/6= 2/3 or 0.667 (3.s.f.)

3 0
3 years ago
How many foot steps in a day does a normal human being take?
Kryger [21]
They take about 5,000 to 10,000 steps each day.

Helps!
4 0
3 years ago
The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of pr
polet [3.4K]
Hello,
Please, see the attached file.
Thanks.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Plot the function
    5·2 answers
  • Workers at Sunny Acres Orchard picked 544 apples. They picked 328 honey crisp apples and the rest were Granny Smith apples. The
    14·1 answer
  • 3(5j+2)=2(3j-6) how do i do this
    11·2 answers
  • I need help with this question
    14·2 answers
  • The probability the Sam sleeps for less than 6 hours is 0.25 work out the probability that Sam sleeps for 6 hours or more
    10·1 answer
  • Find the value of x.
    12·1 answer
  • Question 7 of 10
    9·1 answer
  • Someone help me with this please
    10·2 answers
  • The length of a rectangle is 24" and its width is 7". How long is a diagonal?
    14·1 answer
  • The high temperature was recorded as 23 7°F The low temperature that same day was recorded as
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!