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
Masteriza [31]
2 years ago
5

If ab =8 and a square + bsquare =35 then (a-b) cube​

Mathematics
1 answer:
vaieri [72.5K]2 years ago
4 0

\text{Given that,}\\\\ab  = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)

You might be interested in
Write nine hundred and fifty-two thousandths in standard form
Alina [70]

952000 is the answer

4 0
2 years ago
Read 2 more answers
Hitch equation is y=6x^2+12x-10 rewritten in vertex form?
kirill [66]
D)y=6(x+1)²-16= 6(x²+2x+1)-16= 6x²+12x+6-16= 6x²+12x-10

<span>answer: D</span>
4 0
2 years ago
Read 2 more answers
∠x and ∠y are supplementary angles. ∠y measures 97੦ What is the measure of ∠x?
trasher [3.6K]

Answer:

83 degrees

Step-by-step explanation:

Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.

180 - 97 = 83 degrees

8 0
3 years ago
Mr. Wallace needs to divide his class or 23 students into 9 groups. Each group can have two or three students. If a is the numbe
IRINA_888 [86]

Answer:

d)  Mr.Wallace can use the following equations:

    a + b = 9

   2 a + 3 b = 23

Step-by-step explanation:

Here, the total number of students = 23

Number of groups = 9

Each group can have 2 or 3 students.

a is the number of  groups of 2.

⇒ Total students in a groups  = a x (Number of  student in each group)

= a x 2 = 2 a

b is the number of groups of 3

⇒ Total students in b groups  = b x (Number of  student in each group)

= b x 3 = 3 b

So, according to the question:

Total number of groups formed = 9

⇒ a + b = 9

Total number of students  = 23

or Number of students in  ( a  group + b group ) = 23

⇒ 2 a + 3 b = 23

Hence, Mr.Wallace can use the following equations:

a + b = 9

2 a + 3 b = 23

6 0
3 years ago
45 Pts Pts Pts Pts pts
lesya [120]
Don’t listen to the scams
3 0
3 years ago
Other questions:
  • Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why o
    9·1 answer
  • Find the least common multiple of 4 and 6. 46 24 12 48
    6·1 answer
  • Whats the volume of a rectangular solid with 6 meters in length, 3 meters in width, and 7 meters in height?
    6·1 answer
  • I WILL GIVE BRAINLIEST<br> Evaluate the following expression.<br> 4 - (3 - 2)²
    11·2 answers
  • A standard die is rolled. Calculate the following probabilities. Express your answer as a fraction in lowest terms. a) The numbe
    13·1 answer
  • What is the effect on the graph of f(x) if it is changed to f(x) + 2 and f(x + 2)?
    13·1 answer
  • Helppppppppppppppppppppppppppppppppppppp
    7·1 answer
  • A modified roulette wheel has 36 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 34​, respectively.
    10·1 answer
  • Which pair of expressions is equivalent?
    12·1 answer
  • HELP PLEASE WILL GIVE BRAINLIEST BE QUICK
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!