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
MaRussiya [10]
3 years ago
15

how to change the following indicated sums to indicated products as in the preceding model: 5 • 20 + 5 • 3

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
We can factorize the equation given:
<span>5 • 20 + 5 • 3
= 5(20 + 3)
= 5(23)
= 115</span>
You might be interested in
Which equation can be used to find the side lengths if the longest side measures 6.2cm?
iren [92.7K]
The answer is 18.6+b=14.5
8 0
3 years ago
Determine the volume of the solid that lies between planes perpendicular to the x-axis at x=0 and x=4. The cross sections perpen
OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

- The diagonals rum from curves y = sqrt(x)  to  y = -sqrt(x)

Find:

Determine the Volume bounded.

Solution:

- First we will find the projected area of the solid on the x = 0 plane.

                              A(x) = 0.5*(diagonal)^2

- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,

                              A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

                              A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

                              V = integral(A(x)).dx

                              V = integral(2*x).dx

                               V = x^2

- Evaluate limits 0 < x < 4:

                               V= 16 - 0 = 16 unit^3

3 0
3 years ago
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
2 years ago
Read 2 more answers
PLS HELP ASAP
slega [8]

Answer:

rn or later?

Step-by-step explanation:

6 0
2 years ago
If 7x + 5 = -2, find the value of 8x
kolbaska11 [484]

Answer:

-8

Step-by-step explanation:

you add 5 to -7 to get -2

7 x -1 is -7

so x = -1

8 x -1 = -8

6 0
3 years ago
Other questions:
  • When do you need to use two number lines to compare two fractions?
    14·1 answer
  • If you only have the original price ($24.50) and the discount is 18% how do you find the sale price?
    13·1 answer
  • James was asked to add 5 to a number and multiply the result by 5. He however first subtracted 5 from the number and then divide
    7·1 answer
  • The class has 30 boxes of pencils each package each package has 10 pencils the class needs 600 pencils how many more boxes does
    7·2 answers
  • What's the sum if $40 is taxxed 8.875?
    10·2 answers
  • During the woman's basketball championship game, team A scored 2 more points than team B. Together, both teams scored a total of
    9·2 answers
  • Geometry help please
    9·2 answers
  • Solve |x - 6| + 8 = 17
    7·2 answers
  • 7 + 6d + 5f use d = 3 and f = 9
    9·2 answers
  • Solve 150 + 30
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!