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
Marina86 [1]
3 years ago
13

Busca dos números consecutivos de manera que la diferencia de sus cuadrados sea 19

Mathematics
1 answer:
deff fn [24]3 years ago
4 0
The numbers are 9 and 10.

Let x be the first number.  Since they are consecutive, this means (x+1) represents the second number.

The square of x is x².  The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1

The difference of these squares would be given by
x²+2x+1 - x²

Setting this equal to 19,
x²+2x+1 - x² = 19

Combining like terms,
2x+1=19

Subtract 1 from each side:
2x+1-1=19-1
2x=18

Divide both sides by 2:
2x/2 = 18/2
x = 9

The first number, x, is 9.  This means the second number, x+1, is 9+1=10.
You might be interested in
Find the area. The figure is not drawn to scale.
Natalka [10]

Answer:

  1188 in²

Step-by-step explanation:

The area of a parallelogram is the product of its base length and height.

  A = bh = (36 in)(33 in) = 1188 in²

6 0
3 years ago
What is a rational number
Liono4ka [1.6K]

Answer:

The rational numbers (ℚ) are included in the real numbers (ℝ), while themselves including the integers (ℤ), which in turn include the natural numbers (ℕ)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Evaluate x divided 4 for x=48
scoray [572]
You have to divide 48 by 4. How many times does 4 go into 48.....................12 times.
3 0
3 years ago
It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of w
EastWind [94]

Answer:

14.9 min

Step-by-step explanation:

r=rate

r25=5*7

r25=35

r=35/25

r=1.4

substitution

r160=t*15

t=time

r=1.4

1.4*160=t*15

224=t*15/15

224/15=t

14.9 min

4 0
2 years ago
Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?
Ede4ka [16]

Answer:

$11

Step-by-step explanation:

This is because If you subtract 19 from 30 your answer will be 19.

6 0
2 years ago
Other questions:
  • Find the rational zeros of the polynomial function. Then enter the function in factored form.
    15·1 answer
  • Which of the following are valid names for the given triangle ? check all that apply
    10·2 answers
  • 1. Solve for x. Show each step of the solution.<br> 4.5(8 - X) + 36 = 102 - 2.5(3x+24)<br> Answer:
    14·1 answer
  • In the​ 2009-2010 school year in country​ a, there were 117 comma 000117,000 foreign students from country
    12·1 answer
  • What are some numbers that are both integers and rational?​
    10·1 answer
  • I need help understanding these it’s my school work
    13·1 answer
  • Can someone help me with this please ?
    14·1 answer
  • Find the value of each variable
    15·1 answer
  • What is the simplified answer?
    10·2 answers
  • Principle of Accounting​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!