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
Vladimir [108]
3 years ago
11

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

Mathematics
1 answer:
Reika [66]3 years ago
6 0
N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19    |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19    |subtract n² from both sides

n = 4n - 15    |subtract 4n from both sides

-3n = -15    |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.
You might be interested in
Square root of 512m^3. show work
ElenaW [278]

The solution would be like this for this specific problem:

√512m³ = √256m² × √2m

= 16 × √2m

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0
3 years ago
Nancy has to find the coordinates of the reflection of the point across the y-axis. How can she find the coordinates of the new
oksian1 [2.3K]

Answer: (x, y) transforms into (-x, y)

Step-by-step explanation:

When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.

So if we do a reflection over the y-axis, then the value of y must be fixed.

So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)

So the rule is, the y value remains equal and the x changes of sign.

4 0
3 years ago
Read 2 more answers
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
valentina_108 [34]
<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

\sqrt{(c-a)^2+(b-d)^2}

So, here we have:

(a,b)=(a,b) and (c,d)=(0,b)

3 0
3 years ago
Answer using steps: An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone. The 3 flavors are
xeze [42]

Step-by-step explanation:

udhfhxhsjdjejdbcjdxbshajdddjwjed

4 0
3 years ago
Becky had 1/2 yard of felt. She cut off 3/5. What is left?
Elza [17]

Answer:

0.833333333333333333333333

Step-by-step explanation:

i looked i tup

8 0
3 years ago
Read 2 more answers
Other questions:
  • How much : 100-99+98-97+....+4-3+2-1 = ?
    13·2 answers
  • 1/7x-5=2 can anyone solve for X?
    6·1 answer
  • Construct an equation that has n = 6 as its solution. Use n on both sides of the equation.
    10·1 answer
  • What is the slope of the line that passes through the points (5, -11) and (-9, 17)?
    8·1 answer
  • The rational number that expresses a loss of $25.30 is +$25.30 -$25.30 +$2.53 -$2.53 , and the rational number that represents a
    7·2 answers
  • At Best Buy they have a 43 tv that sells for 865 and is on sale for 30% off how much would they pay for the tv after the discoun
    13·1 answer
  • cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
    5·1 answer
  • In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatm
    14·1 answer
  • The manager of a toothpaste manufacturing company wants to add three new flavored toothpastes for children between the ages
    11·1 answer
  • The inequality | t – 200 | &lt; 50 represents the range of acceptable temperatures (in Fahrenheit) for hot soup to be served in
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!