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
kramer
3 years ago
6

Find two consecutive numbers whose squares differ by 33

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

Two consecutive numbers whose squares differ by 33 are 16 and 17

Step-by-step explanation:

lets assume first number be x

since numbers are consecutive , so other number will be x + 1

From given information in question

(x + 1)² - x² = 33

⇒ (x² + 1² + 2x)  - x² = 33       [   since (a+b)² = a² + b² + 2ab ]

⇒ x² + 1² + 2x - x² = 33

⇒ 2x + 1 = 33

⇒ 2x = 33 - 1

⇒ x = 32/2 = 16

so one number is x = 16 and other number is x + 1 = 16 + 1 = 17

lets recheck our solution

17² - 16² = 289 - 256 = 33 , And since difference is 33 , two required consecutive numbers are 16 and 17.


You might be interested in
Consider the following system of equations:
Mashutka [201]

Answer:

Liney=-2x+3 intersects line y=x-5

Step-by-step explanation:

We are given that

y=-2x+3

y=x-5

Subtract one equation from other then we get

-3x+8=0

3x=8

x=\frac{8}{3}

Substitute the value of x in first equation then we get

y=-2(\frac{8}{3})+3=-\frac{16}{3}+3=-\frac{-7}{3}

Hence, the solution (\frac{8}{3},-\frac{7}{3}) is the intersection point of two line  equations .

Answer:Liney=-2x+3 intersects line y=x-5

6 0
3 years ago
Y = x^2 + 2x - 8 Solve with zeros
Katen [24]

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

6 0
3 years ago
How do you simplify numbers with exponents
tensa zangetsu [6.8K]
You write it out then you’ll get the exponent
7 0
3 years ago
Which angles shown in the drawing are supplementary
Arte-miy333 [17]
In order to answer this, we need an image to be able to see what they look like.
5 0
3 years ago
5. A certain company stock began at a starting price of $23
Kaylis [27]

Answer:

$ 35 .00

Step-by-step explanation:

..............................

5 0
3 years ago
Other questions:
  • Sal is mixing plant food for his garden. The plant food requires 5 1/2 gallons of water, but his measuring container has marks f
    15·1 answer
  • Given (x) = -3x+2, evaluate f(5)
    13·1 answer
  • What is the slope of a line that is perpendicular to the line y = -1/2 x + 5?
    15·1 answer
  • In a mathematics class, half of the students scored 87 on an achievement test. With the exception of a few students who scored 5
    5·1 answer
  • A 9.0<br> B 16.0<br> C 25.0<br> D 17.3
    10·2 answers
  • Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 94.6 inc
    9·1 answer
  • The ratio of men to women working for a company is 5 to 3 . If there are 104 employees total, how many men work for the company?
    6·2 answers
  • Someone KEEPS answering my questions and THERE ANSWERS ARE RIGHT. AHH HOW? srlt2 you smart. Anyways does anyone wanna help me
    5·1 answer
  • How many one third cubes are needed to fill the gap in the prism shown below? O 4
    12·1 answer
  • Which option below is not a potential risk of purchasing a used car?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!