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
xxTIMURxx [149]
3 years ago
12

Point Q is on line segment PR. Given QR = 3x, PQ = x + 6, and

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Given:

Point Q is on line segment PR.

QR = 3x, PQ = x + 6, and  PR = 5x – 4.

To find:

The numerical length of PQ.

Solution:

Since, point Q is on line segment PR, so by segment addition property, we get

PR=PQ+QR

5x-4=(x+6)+3x

5x-4=4x+6

5x-4x=4+6

x=10

The value of x is 10.

Now,

PQ=x+6

Putting x=10, we get

PQ=10+6

PQ=16

Therefore, the numerical length of PQ is 16 units.

You might be interested in
5 friends go out to lunch and order 4 pizzas. The friend divides the pizzas evenly. Find how much pizza each friend got as a dec
vichka [17]
Each friend gets 0.8 of a pizza.
7 0
3 years ago
Read 2 more answers
Verify by substitution whetherthe given functions are solutions of the given DE. Primes denote derivatives with respect to x.y!!
julia-pushkina [17]

Complete Question

The complete question is shown on the first uploaded

Answer:

y_1 is not a solution of the differential equation

 y_2 is not a solution of the differential equation

y_3 is not a solution of the differential equation

Step-by-step explanation:

The differential equation given is y'' + y' = cos2x

Let consider the first equation to substitute

y_1  = cosx  +sinx

y_1'  = -sinx  +cosx

y_1''  = -cosx -sinx

So

y_1'' - y_1'  = -cosx -sinx -sinx  +cosx

y_1'' + y_1'  = -2sinx

So

-2sinx \ne  cos2x

This means that y_1 is not a solution of the differential equation

Let consider the second equation to substitute

y_2 =  cos2x

y_2' =  -2sin2x

y_2'' =  -4cos2x

So

y_2'' + y_2'  = -4cos2x-2sin2x

So

-4cos2x-2sin2x \ne  cos2x

This means that y_2 is not a solution of the differential equation

Let consider the third equation to substitute

y_3 =  sin 2x

   y_3' =  2cos 2x

    y_3'' =  -4sin2x

So

y_3'' + y_3'  = -4sin2x  - 2cos2x

So

-4sin2x  - 2cos2x \ne  cos2x

This means  that  y_3 is not a solution of the differential equation

6 0
3 years ago
Order the numbers 0.2, 1/5, 0.02, 0.022 from least to greatest.
PSYCHO15rus [73]
0.022, 0.02, 0.2, 1/5, 
7 0
3 years ago
If the divisor is 30 what is the least three digit dividend that would give a remainder of 8? Explain
Ronch [10]
240 is one not sure if its the largest.
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 10a + 6?
Gnoma [55]

The answer is: 2(5a + 3)

hope this helps :)

3 0
2 years ago
Read 2 more answers
Other questions:
  • you are getting your hair cut and it costs you $18.30 you decide to tip the hairdresser 15% how much did you pay in total​
    11·1 answer
  • If X = 6 cm and Y = 8 cm, what is the length of Z?
    5·1 answer
  • Julie works for 48 hours per week for 12 weeks during the summer, making $5000. If she works for 48 weeks during the school year
    9·1 answer
  • Two lines intersect in more than one point.
    10·1 answer
  • Solve the equation.<br> 2^-x = 1<br><br> PLEASE HELP!!!
    8·1 answer
  • What is the measure of YW?
    10·1 answer
  • What is the slope of the line?
    7·2 answers
  • How were decimals written in Roman
    6·1 answer
  • Could someone help with a maths question? The attachment has the questions on it.
    6·1 answer
  • Someone help me out here​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!