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
ozzi
3 years ago
13

Factor the equation 45x - 81

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

Step-by-step explanation:

45x = 9*5*x

81 = 9*9

GCF = 9

Take 9 out using distributive property { a*b - c*b = b*(a-b)}

45x - 81 = 9*5x - 9*9

            = 9*(5x - 9)

          =9(5x-9)

You might be interested in
Simplify the expression please!<br><br> -5+i/2i
melamori03 [73]

Answer:-9/2 or -4.

5

Step-by-step explanation:

3 0
3 years ago
Need help on these !! 13 and 14! Please!!
katen-ka-za [31]

Question # 13

Answer:

The required equation for the given function is <em>y = 4sin(x/2+2π/3) -2 , as shown attached graph diagram.</em>

<em>Step-by-step explanation: </em>

As the general sine function is given by

y=asin(bx+c)+d.......[A]

  • amplitude = a
  • period = 2π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • amplitude = a = 4
  • period = 4π
  • phase shift = -4π/3
  • Vertical shift = d = -2

As  

period = 2π ÷ b  

b = 2π/period

b = 2π/4π ∵ period = 4π

b = 1/2  

Also

Phase shift = -c/b

-4π/3 = -c/b ∵ phase shift = -4π/3

4π/3 = c/b  

c = b × 4π/3  

c = 1/2 × 4π/3  

c = 4π/6  

c = 2π/3

So, putting Amplitude ⇒ a = 4, Vertical shift ⇒ d = -2, b = 1/2 ,  

and c = 2π/3 in Equation [A] would bring us the required equation for the given function.

y=asin(bx+c)+d

y = 4sin(x/2+2π/3)+(-2)

y = 4sin(x/2+2π/3) -2            

<em>Note: The graph is also shown in attached diagram.</em>

                                             Question # 14

<em>Answer:</em>

The required equation for the given function is y = cot(x+π/3)+2, as shown in attached graph diagram.

<em>Step-by-step explanation: </em>

As the general cotangent function is given by

y=acot(bx+c)+d.......[A]

  • amplitude = a
  • period = π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • period = π
  • phase shift = -π/3
  • Vertical shift = d = 2

As  

period = π ÷ b  

b = π/period

b = π/π ∵ period = 4π

b = 1  

Also

Phase shift = -c/b

-π/3 = -c/b ∵ phase shift = -π/3

π/3 = c/b  

c = b × π/3  

c = 1 × π/3  

c = π/3

So, putting vertical shift ⇒ d = 2, b = 1 and   c = π/3 in Equation [A] would bring us the required equation for the given function.

y=acot(bx+c)+d

y = cot(x+π/3)+2

<em>Note: The graph is also shown in attached diagram.</em>

Keywords: amplitude, period , phase shift , vertical shift

Learn more about trigonometric functions of equations from brainly.com/question/2643311

#learnwithBrainly

7 0
3 years ago
Slope is 1/2 and (4,6) is on the line
AleksandrR [38]

Answer:

y-6=1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1/2(x-4)

6 0
3 years ago
Read 2 more answers
7<br> a. 49<br> b. 98<br> c. 12<br> 14<br><br><br> I need the area!!
sp2606 [1]

Answer:

49

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (14)*7

A =49

3 0
2 years ago
Read 2 more answers
What is the slope of the line through (-5, -10) and (-1,5)?
Kipish [7]

Answer:

15/4

Step-by-step explanation:

(-5,-10) and (-1,5)

y2-y1/x2-x1

5+10 / 4

15/4

4 0
3 years ago
Other questions:
  • The sixth term is 22 and the common difference is six what is the fiftieth term
    11·1 answer
  • An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car fro
    11·1 answer
  • A game last 7/8 hour Karen played five of those games how long did she play in tota<br>l​
    5·1 answer
  • Three numbers have a sum of 68. The second number is 1 less than twice the first. The third number is three times the second. Wh
    10·1 answer
  • Find the Axis of Symmetry<br> g(x) = x 2- 5x + 2
    8·1 answer
  • Find the solution set for this equation.<br> a2 + 7a=0
    6·1 answer
  • If you were to take a cross section of a right circular cone parallel to its base, what shape would you get?
    7·1 answer
  • ∠ 1 and ∠ 2 are complementary angles, if ∠ 1= 3x+10 and ∠ 2 = 4x-25. Find the measurement of ∠ 1 and ∠ 2
    14·1 answer
  • Solve the equation b/4+2=-1.<br> b=
    12·1 answer
  • HELP PLEASE ASAP!!! James has 822 feet of rope. There are 19 teams of hikers. If James gives an equal amount of rope to each tea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!