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Aleonysh [2.5K]
3 years ago
13

(ar^b) ^4 = 16r^20 where a and b are positive integers work our a and b​

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

a = 2

b = 5

Step-by-step explanation:

Given :

(ar^b)^4 = 16r^20 ; a and b are positive integers :

Opening the bracket :

a^4r^4b = 16r^20

a^4 = 16 - - - - - (1)

r^4b = r^20 - - - (2)

a^4 = 16

Take the 4th root of both sides :

(a^4)^(1/4) = 16^1/4

a = 2

From (2)

r^4b = r^20

4b = 20

Divide both sides by 4

4b/4 = 20/4

b = 5

Hence ;

a = 2

b = 5

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(-2x+3y=8....(i)<br>( x+y=2.........(ii)<br>solve by elumination method and substitution​
yan [13]

Answer:

 x = -2/5

 y = 12/5

Step-by-step explanation:

Substitution method;

-2x + 3y = 8  -----------(i)

x + y =2   -----------(ii)

x = 2 - y

substitute the value of x in equ (i)

  (-2)* (2-y) + 3y = 8

     -4 + 2y + 3y = 8

                   5y = 8 + 4

                     y = 12/5

substitute the value of y in equ (ii)

x + 12/5 = 2

        x = 2 - 12/5

           = 2*5/1*5 - 12/5  

          = 10 -12/5 = -2/5

Ans: x = -2/5

       y = 12/5

elimination method:

-2x + 3y = 8  -----------(i)

x + y =2   -----------(ii)

                                    (i)   ====>    -2x + 3y = 8

multiply equ (ii) by 2         ====>    <u>  2x + 2y = 4</u>

             add (i) and (ii)                             5y = 12

                                                                   y = 12/5

Substitute in equ (ii)

x + 12/5 = 2

        x = 2 - 12/5

           = 2*5/1*5 - 12/5  

          = 10 -12/5 = -2/5

Ans: x = -2/5

       y = 12/5

                                                       

               

5 0
3 years ago
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5 The area of a rectangular lawn is 255 m². If its length is 15 m, find its perimeter.​
Marina CMI [18]
Area of a rectangular lawn = l×b

255=15×x

Hence the breadth is 17 m

Hence perimeter =2(l+b)=2(15+17)=64
3 0
3 years ago
Write the coordinates of the vertices after a reflection over the y-axis.
mart [117]

Answer:

A (10, -9)

B (0,-9)

C (0,-1)

D (10,-1)

Step-by-step explanation:

Negate the x-coordinates of each of the vertices

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2 years ago
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Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
jeka94

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

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Plug this into the first equation:

y = 3(4) - 23

y =  -11.

5 0
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Please give me the the answer of the question in the link that's 50 points
svetoff [14.1K]

Answer:

B. y=−5x+1152

Step-by-step explanation:

7 0
3 years ago
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