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
Hoochie [10]
1 year ago
12

If a car rolled down a 25-meter ramp, continued rolling another 20 meters at the bottom, then reversed and went back to the top

of the ramp, what is the car's displacement? What is the car's distance traveled? Explain
I will give brainliest!
Mathematics
2 answers:
Lapatulllka [165]1 year ago
8 0
Displacement= 0
Distance=90
SVEN [57.7K]1 year ago
3 0
Answer:
Displacement = 0
Distance = 90

Explanation:
Displacement refers to the overall change an object has made in its position. The car is right back where it started, so the answer is 0.

To calculate total distance, add the distance down the ramp to the additional horizontal distance, then multiply it all by 2 because it made the same journey again in reverse.

25 + 20 = 45
45 x 2 = 90 m
You might be interested in
Please help is it greater than or less than<br>7*3_9*2​
mezya [45]
The answer is >,, 21>18
6 0
3 years ago
What are the nouns in this sentence?
fgiga [73]

Answer:

A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend

3 0
2 years ago
Sum1 helpppppppp meeeeeeeeeee
makkiz [27]

Answer:

16 in

Step-by-step explanation:

8x2

6 0
3 years ago
a shipping company delivered 38728 letters and 41584 packages. write and solve an equation to find how many items the company de
kolbaska11 [484]

38,728 + 41,584 = 80,312

The company delivered 80,312 items.

7 0
3 years ago
Solve (x-4)^2=5 get it correct and get brainliest
Marta_Voda [28]

Answer:

Two solutions were found :

x =(8-√20)/2=4-√ 5 = 1.764

x =(8+√20)/2=4+√ 5 = 6.236

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x-4)^2-(5)=0

Step by step solution :

Step  1  :

1.1     Evaluate :  (x-4)2   =    x2-8x+16

Trying to factor by splitting the middle term

1.2     Factoring  x2-8x+11

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +11

Step-1 : Multiply the coefficient of the first term by the constant   1 • 11 = 11

Step-2 : Find two factors of  11  whose sum equals the coefficient of the middle term, which is   -8 .

     -11    +    -1    =    -12

     -1    +    -11    =    -12

     1    +    11    =    12

     11    +    1    =    12

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 8x + 11  = 0

Step  2  :

Parabola, Finding the Vertex :

2.1      Find the Vertex of   y = x2-8x+11

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   4.0000  

Plugging into the parabola formula   4.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * 4.00 * 4.00 - 8.0 * 4.00 + 11.0

or   y = -5.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-8x+11

Axis of Symmetry (dashed)  {x}={ 4.00}

Vertex at  {x,y} = { 4.00,-5.00}

x -Intercepts (Roots) :

Root 1 at  {x,y} = { 1.76, 0.00}

Root 2 at  {x,y} = { 6.24, 0.00}

Solve Quadratic Equation by Completing The Square

2.2     Solving   x2-8x+11 = 0 by Completing The Square .

Subtract  11  from both side of the equation :

  x2-8x = -11

Now the clever bit: Take the coefficient of  x , which is  8 , divide by two, giving  4 , and finally square it giving  16

Add  16  to both sides of the equation :

 On the right hand side we have :

  -11  +  16    or,  (-11/1)+(16/1)

 The common denominator of the two fractions is  1   Adding  (-11/1)+(16/1)  gives  5/1

 So adding to both sides we finally get :

  x2-8x+16 = 5

Adding  16  has completed the left hand side into a perfect square :

  x2-8x+16  =

  (x-4) • (x-4)  =

 (x-4)2

Things which are equal to the same thing are also equal to one another. Since

  x2-8x+16 = 5 and

  x2-8x+16 = (x-4)2

then, according to the law of transitivity,

  (x-4)2 = 5

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-4)2   is

  (x-4)2/2 =

 (x-4)1 =

  x-4

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-4 = √ 5

Add  4  to both sides to obtain:

  x = 4 + √ 5

Since a square root has two values, one positive and the other negative

  x2 - 8x + 11 = 0

  has two solutions:

 x = 4 + √ 5

  or

 x = 4 - √ 5

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-8x+11 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by            

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -8

                     C   =   11

Accordingly,  B2  -  4AC   =

                    64 - 44 =

                    20

Applying the quadratic formula :

              8 ± √ 20

  x  =    —————

                   2

Can  √ 20 be simplified ?

Yes!   The prime factorization of  20   is

  2•2•5

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 20   =  √ 2•2•5   =

               ±  2 • √ 5

 √ 5   , rounded to 4 decimal digits, is   2.2361

So now we are looking at:

          x  =  ( 8 ± 2 •  2.236 ) / 2

Two real solutions:

x =(8+√20)/2=4+√ 5 = 6.236

or:

x =(8-√20)/2=4-√ 5 = 1.764

Two solutions were found :

x =(8-√20)/2=4-√ 5 = 1.764

x =(8+√20)/2=4+√ 5 = 6.236

Processing ends successfully

4 0
3 years ago
Other questions:
  • Mrs.Feinstein recorded the weight, in pounds, recorded of each of her 8 great-grandchildren. Her data are shown.
    11·1 answer
  • As a summer job, Randall Jui can work at the amusement park earning $8.75 an hour for 20 hours a week, or as a busboy in a resta
    5·2 answers
  • Which description represents this equation? 7x – 2 = 33 A. Two times the quantity of seven less than a number equals thirty-thre
    8·1 answer
  • 3 children want to share 2 brownies so that everyone gets the same amount. How much brownie can each child have
    5·2 answers
  • What is the area of this figure?<br><br> Enter your answer in the box.<br><br> in²,
    15·1 answer
  • Four classmates went bowling. Each paid $2.00 to rent shoes and bowled ​g​ games, paying $3.50 per player for each game. Which e
    5·2 answers
  • Please help!!<br> Type the correct answer in each box. Use numerals instead of words.
    9·1 answer
  • Arrange the decimal fractions in descending order.<br>1.3 0.13 3.1 0.31<br>​
    7·1 answer
  • Can someone please factor this expression for me a²+4a-45​
    12·1 answer
  • Is median a measure of center or a measure of variation
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!