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
makvit [3.9K]
2 years ago
12

two sets of 3 consecutive integers have a property that the product of the larger two is one less than seven times the smallest

set up and solve an equation that can be used to find both sets of intigers
Physics
1 answer:
Alchen [17]2 years ago
7 0
Answer:
First set is 3,4 and 5
Second set is 1,2 and 3

Explanation:
Assume that the smallest number is n.
Since the three numbers are consecutive, this means that the other two numbers would be n+1 and n+2

Now, we know that the product of the larger two numbers is 1 less tan than 7 times the smallest.
This means that: 
(n+1)(n+2) = 7n - 1 .........> equation used to find the sets
n² + 2n + n + 2 = 7n - 1
n² + 3n + 2 = 7n - 1
n² + 3n + 2 - 7n + 1 = 0
n² - 4n + 3 = 0
(n-3)(n-1) = 0
This means that:
either n-3=0 ..........> n = 3
or n-1=0 ..........> n = 1

At n = 3:
The three numbers would be 3,4 and 5

At n = 1:
The three numbers would be 1,2 and 3

Hope this helps :)

You might be interested in
On earth, two parts of a space probe weigh 14500 N and 4800 N. These parts are separated by a center-to-center distance of 18 m
Nastasia [14]

Answer:

F = 1.489*10^{-7}  N

Explanation: Weight of space probes on earth is given by:W= m*g

W= weight of the object( in N)

m= mass of the object (in kg)

g=acceleration due to gravity(9.81 \frac{m}{s^{2} })

Therefore,

m_{1} = \frac{14500}{9.81}

m_{1} = 1478.08  kg

Similarly,

m_{2} = \frac{4800}{9.81}

m_{2} = 489.29  kg

Now, considering these two parts as uniform spherical objects

Also, according to Superposition principle, gravitational net force experienced by an object is sum of all individual forces on the object.

Force between these two objects is given by:

F =  \frac{Gm_{1} m_{2}}{R^{2} }

G= gravitational constant (6.67 * 10^{-11} m^{3} kg^{-1} s^{-2})

m_{1} , m_{2}= masses of the object

R= distance between their centres (in m)(18 m)

Substituiting all these values into the above formula

F = 1.489*10^{-7}  N

This is the magnitude of force experienced by each part in the direction towards the other part, i.e the gravitational force is attractive in nature.

7 0
3 years ago
In longitude waves, the medium moves parallel to the direction of energy transport
adelina 88 [10]
Yep that's correct
And transverse waves move perpendicular to the direction of energy transport
7 0
3 years ago
A constant net torque is exerted on an object. Which of the following quantities for the object cannot be constant? (Select all
prohojiy [21]

Answer:

A. kinetic energy

B. angular velocity

E. angular position

Explanation:

The quantities that cannot be constant if a constant net torque is exerted on an objecta are:

A. Kinetic energy. If a torque is applied, the linear or angular speed will be changing at a rate proportional to the torque, so the kinetic energy will change too.

B. Angular velocity. It will change at a rate equal to the torque.

C. Angular position. If the angular velocity changes, the angular position will change.

3 0
3 years ago
Maria designs a test to see if lemon trees that receive more water produce larger lemons.
denis-greek [22]
Do you know the answer

7 0
3 years ago
Please help & actually answer thank you :)
Katarina [22]

Answer:

0.5x35=17.5

Explanation:

You throw 0.5 kg the ball leaves your hand with

A speed of 35

4 0
2 years ago
Other questions:
  • Which statement best describes the formation of igneous rocks?
    13·2 answers
  • One of the longer sides of a kite is 39 feet. one of the shorter sides is 25 feet. half the length of the shorter diagonal is 15
    13·1 answer
  • The thermal energy in a heat engine is used to move a piston. Which best describes why this is possible?
    10·2 answers
  • I NEED THIS ANSWER TODAY PLEASE HELP ME
    6·2 answers
  • Why are springs made of steel and not of copper.​
    8·2 answers
  • When are you most aware of your motion in a moving vehicle: when it is moving steadily in a straight line or when it is accelera
    11·1 answer
  • During a storm, a tree limb breaks off and comes to rest across a barbed wire fence at a point that is not in the middle between
    7·2 answers
  • A long wire carries a current density proportional to the distance from its center, J=(Jo/ro)•r, where Jo and ro are constants a
    12·1 answer
  • A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.90 s. Then security
    10·1 answer
  • Which class lever is called force multiplier and why?​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!