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
Verizon [17]
2 years ago
8

3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers

Mathematics
1 answer:
Mashcka [7]2 years ago
6 0

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

You might be interested in
Find the GCF 36, 22.
olasank [31]

Answer:

The greatest common factor (GCF) of 36 and 22 is 2.

4 0
3 years ago
Read 2 more answers
Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)  

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
3 years ago
Read 2 more answers
A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po
Ronch [10]

<em>Directed numbers</em> are numbers that have either a <u>positive</u> or <u>negative </u>sign, which can be shown on a <em>number line</em>. Therefore, point F is Fifteen-halves of line <em>segment</em> DE.

A <u>number line</u> is a system that can show the positions of <em>positive</em> or <em>negative</em> numbers. It has its <em>ends</em> ranging from <em>negative infinity</em> to <em>positive infinity</em>. Thus any <em>directed</em> number can be located on the line.

Directed numbers are numbers with either a <u>negative</u> or <u>positive </u>sign, which shows their direction with respect to the <em>number line.</em>

In the given question, the <u>distance</u> between points D and E is <em>9 units</em>. So that <em>dividing</em> 9 units in the ratio of 5 to 6, we have;

\frac{5}{6} x 9   = \frac{45}{6}

          = \frac{15}{2}

Therefore, the <em>location</em> of point F, which <u>partitions</u> the directed line segment from d to E into a 5:6 ratio is    \frac{15}{2}. Thus the<em> answer</em> is <u>Fifteen-halves.</u>

For further clarifications on a number line, visit: brainly.com/question/23379455

#SPJ1

7 0
2 years ago
Divide
mote1985 [20]

Answer:

0.014767

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
(x+3)²(65)=x(6)<br>Solve using quadric formula​
Angelina_Jolie [31]

Step 1: Simplify both sides of the equation.

  • 65x²+390x+585=6x

Step 2: Subtract 6x from both sides.

  • 65x²+390x+585−6x=6x−6x
  • 65x²+384x+585=0

For this equation: a=65, b=384, c=585

  • 65x²+384x+585=0

Step 3: Use quadratic formula with a=65, b=384, c=585

  • x=−b±√b2−4ac/2a
  • x=−(384)±√(384)2−4(65)(585)/
  • 2(65)
  • x=−384±√−4644/130

Therefore, There are no real solutions.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the discount rate when the original price is $103.00 and the amount of the discount is $30.90
    14·1 answer
  • How do you know that a =6 is a solution to a+5=11?
    15·2 answers
  • A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?
    5·2 answers
  • There are 3 large marbles, 2 medium marbles and 5 small marbles in a bag. If one of the marbles is chosen randomly, what is the
    13·1 answer
  • Oriel has designed a square mural that measures 10feet on each side. Bill has also designed a square mural but his measures y fe
    8·1 answer
  • Can any one slove this
    13·1 answer
  • What is the range of possible sizes for side x? it is a triangle with one side having 4.0, and the other having 5.6. picture att
    8·1 answer
  • Which inequality is represented by the graph?
    11·1 answer
  • A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag
    15·1 answer
  • Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 ki
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!