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
lidiya [134]
3 years ago
14

The 60-foot rope was cut into two pieces. One of the pieces was 10 feet longer than 4 times the length of the other piece. How l

ong were the two pieces?
Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer:

50 and 10

Step-by-step explanation:

x+4x+10=y

y is 60

x+4x+10=60

5x+10=60

5x=50

x=10

or

10*4=40

40+10=50

50+10=60

You might be interested in
X^3+18x−3x^2−54 Factor over complex numbers
adoni [48]

Answer:

4565

Step-by-step explanation:

4 0
3 years ago
How do i solve this: |6y+2|=2|2y-1|
ziro4ka [17]

Answer:

Step-by-step explanation:

Group like terms 6y-2y= 2-1-2

When a number goes over the equal sign= positive + changes to negative, vice versa.

So final answer is 4y= -1= -4y

Because 4 is decided by -1

7 0
3 years ago
Read 2 more answers
Find the equation of the line passing
Ostrovityanka [42]

Answer:

  y = 4x -14

Step-by-step explanation:

The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.

The slope equation is ...

  m = (y2 -y1)/(x2 -x1)

  m = (10 -2)/(6 -4) = 8/2 = 4

The y-intercept equation is ...

  b = y - mx

  b = 2 -4(4) = -14

The equation of the line is y = 4x -14.

7 0
2 years ago
Brainliest for the first solution
mr Goodwill [35]

Q1  Solution:

x = 3 or x = -1

Step-by-step explanation:

x²-2x-3 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -2 and their product -3. By trial and error the two numbers are found to be; -3 and 1. The next step is to split the middle term by substituting it with the above two numbers found;

x²+x-3x-3  =  0

x(x+1)-3(x+1)  = 0

(x-3)(x+1) = 0

Finally we apply the zero Product Property :

If ab = 0 then a  = 0 or b  = 0

This implies;

x-3= 0 or x+1 = 0

x = 3 or x = -1 are the solutions to x²-2x-3 = 0

Q2  Solution:

x  = -1/2 or x  =  3

Step-by-step explanation:

2x²-5x-3  =0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -5 and their product 2(-3)=-6. By trial and error the two numbers are found to be; -6 and 1. The next step is to split the middle term by substituting it with the above two numbers found;

2x²-6x+x-3  = 0

2x(x-3)+1(x-3) = 0

(2x+1)(x-3) = 0

2x+1 = 0 or x-3 =  0

2x = -1 or x =  3

x  = -1/2 or x  =  3 are the solutions of the given quadratic equation.

Q3 Soution:

x = 4 or x = 3

Step-by-step explanation:

x²-7x = -12

x²-7x+12 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -7 and their product 12. By trial and error the two numbers are found to be; -4 and -3. The next step is to split the middle term by substituting it with the above two numbers found;

x²-4x-3x+12 = 0

x(x-4)-3(x-4)  = 0

(x-4)(x-3) = 0

x-4 = 0 or x-3 = 0

x = 4 or x = 3 are the solutions of the given quadratic equation.

Q4:

x = -2/3 or x = 6

Step-by-step explanation:

3x² = 16x+12

3x²-16x-12 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -16 and their product 3(-12)= -36. By trial and error the two numbers are found to be; -18 and 2. The next step is to split the middle term by substituting it with the above two numbers found;

3x²-18x+2x-12 = 0

3x(x-6)+2(x-6) = 0

(3x+2)(x-6) = 0

3x+2 = 0 or x-6 =0

3x = -2 or x = 6

x = -2/3 or x = 6 are the solutions of the given quadratic equation.

Q5:

x = 6 or x = -4

Step-by-step explanation:

x²-2x-24 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -2 and their product -24. By trial and error the two numbers are found to be; -6 and 4. The next step is to split the middle term by substituting it with the above two numbers found;

x²-6x+4x-24 = 0

x(x-6)+4(x-6) = 0

(x-6)(x+4) = 0

x-6 = 0 or x+4 = 0

x = 6 or x = -4 are the solutions to the given quadratic equation.

Q6:

x  = 4/3 or x  = -1

Step-by-step explanation:

3x² = x+4

3x²-x-4 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -1 and their product -12. By trial and error the two numbers are found to be; -4 and 3. The next step is to split the middle term by substituting it with the above two numbers found;

3x²-4x+3x-4 = 0

x(3x-4)+1(3x-4)  =0

(3x-4)(x+1) = 0

3x-4 =0 or x+1 =0

3x  = 4 or x = -1

x  = 4/3 or x  = -1 are the solutions to the given quadratic equation.

5 0
3 years ago
Read 2 more answers
If for brothers work together to mow equal-sized fields.each field brother mows the same amount.
ser-zykov [4K]
Yes that is true. Each brother can have 25% of the fields. Good luck:)
6 0
3 years ago
Other questions:
  • What is the equation for the line that passes through the points (-5, 2) and (5,-6)?​
    13·1 answer
  • -16-8 over 2 + 25 / 5 +1
    9·1 answer
  • Please<br> help find the measure of the exterior angle
    6·2 answers
  • Is the following figure a parallelogram? Why?
    12·1 answer
  • Let f(x)=-2x-7 and g(x)=-4x+6 find (g o f )(-5)
    12·1 answer
  • What percent of 56 is 48?​
    15·1 answer
  • Find the value of x and y:
    6·1 answer
  • Write an equation in slope intercept form (y=mx+b) for the graph below
    15·1 answer
  • I NEED HELP! simplify this expression
    6·1 answer
  • Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!