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
Crazy boy [7]
3 years ago
7

If 2x^2 -2y^2 = 72 and if x+y=18 what does x-y equal

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
First factor out the 2:

x^2 - y^2 = 36

x^2 - y^2 can be factored into (x+y)(y-y) so:

(x + y)(x - y) = 36

plug in your value:

18 (x-y) = 36 and you should be able to take it from there
Shalnov [3]3 years ago
6 0
2x^2-2y^2=72
divide both sides by 2
x^2-y^2=36
factor difference of 2 perfect squares
(x-y)(x+y)=36
given that x+y=18, subsitute 18 for x+y
(x-y)(18)=36
divide both sides by 18
x-y=2
You might be interested in
A machine that produces ball bearings has initially been set so that the mean diameter of the bearings it produces is 0.500 inch
natali 33 [55]

Answer:

10

Step-by-step explanation:

yes because

5 0
3 years ago
Identify a pattern in the given list of numbers. Then use this pattern to find the next number.​ (More than one pattern might​ e
KatRina [158]
I'm not sure what the equation would be, but its the number multiplied by two, and It keeps accumulating so maybe yx2?
6 0
3 years ago
Please no one is helping me I truly need help pls
vampirchik [111]

Answer:

104 cm^3

Step-by-step explanation:

2(1/2(6*4))+2(1/2(4*10)+(4*10)

2(1/2(24)+(2(1/2(40)+(40)

2(12)+2(20)+40

24+40+40

104 CM^3

3 0
3 years ago
Which measurement is greater six feet or 2 meters
mojhsa [17]
A meter stick is approximately 39 inches. A yard stick is 36 inches, or 3 feet. So 2 meters is greater than 6 feet.
3 0
3 years ago
Read 2 more answers
Find the nature of the root
GREYUIT [131]

Answer:

1) Real and same.

2) Real and distinct

3) Real and distinct

4) Real and distinct

5) Real and distinct

6) Real and distinct

7) Real and distinct

8) Real and distinct

Step-by-step explanation:

If a quadratic equation is in the form of ax² + bx + c = 0, then Discriminant of the equation D = b² - 4ac, which governs the nature of roots the equation has.

If D > 0, then there will be two different real roots.

If D = 0, then two same and real roots.

If D < 0, then two distinct but imaginary roots.

Now, 1) x² + 6x + 9 = 0 has D = 6² - 4 × 9 × 1 = 0. So, there will be two same and real roots.

2) 5x² - x = 4x² + 2

⇒ x² - x - 2 = 0

It has D = (-1)² - 4 × 1 × (-2) = 9. Therefore, the roots will be two distinct and real.

3) \frac{2}{x} + \frac{3}{x} = x - 4

⇒ 5 = x² - 4x

⇒ x² - 4x - 5 = 0.

So, D = (-4)² - 4 × (1) × (- 5) = 36. So, the equation has two real and distinct rools.

4) x(x - 5) = 4(5 - x)

⇒ x² - x - 20 = 0

Hence, D = (-1)² - 4 × 1 × (-20) = 81

So, the roots will be real and distinct.

5) x² + 7x + 1 = 0 has D = 7² - 4 × 1 × 1 = 45

So, the roots will be real and distinct.

6) 2x² + 9x + 3 = 0, has D = 9² - 4 × 2 × 3 = 57.

Hence, the roots will be real and distinct.

7) 5x² - 6 = 13x

⇒ 5x² - 13x - 6 = 0

So, D = (-13)² - 4 × 5 × (-6) = 289

So, the roots will be real and distinct.

8) x² - x = 3(x + 7)

⇒ x² - 4x - 21 = 0

It has D = (-4)² - 4 × 1 × (-21) = 100

So, the roots will be real and distinct. (Answer)

6 0
3 years ago
Other questions:
  • The difference between 2 numbers is 9. The first number plus the other number is 27. Find the 2 numbers
    5·2 answers
  • one bag of pretzels costs three dollars.five bags of pretzels costs $10.whickhas the lower unit price?
    5·2 answers
  • I have another question
    15·1 answer
  • marias school is selling tickets to the annual talent show. On thr first day ticket sales the school sold 4 adult tickets and 12
    13·1 answer
  • A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i
    14·2 answers
  • (3-4i)(1+5i)-(2-1) <br> Please give me the correct answer
    14·1 answer
  • Is the expression 32/-8 undefined? If not find the quotient.
    8·1 answer
  • Find the value of x.<br> 9<br> 10<br> 8<br> 7
    12·1 answer
  • Please help me on this
    6·2 answers
  • Find the measure of each angle of an isosceles right-angled triangle
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!