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Bezzdna [24]
3 years ago
14

The sum of twi intergers is 54 and thier difference is 10. Find the integers

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
7 0

Let x be one number and y be the other.

x + y = 54 ------------- (1)

x - y = 10 ------------- (2)

.

Add (1) and (2):

2x = 64

Divide both sides by 2:

x = 32

-

Plug x = 32 into (1):

32 + y = 54

Take away 32 from both sides:

y = 22

-

Answer: The two numbers are 32 and 22.

Read more on Brainly.com - brainly.com/question/10700407#readmore

JulsSmile [24]3 years ago
4 0

Let x be one number and y be the other.

x + y = 54 ------------- (1)

x - y = 10 ------------- (2)

.

<u>Add (1) and (2):</u>

2x = 64

<u>Divide both sides by 2:</u>

x = 32

-

<u>Plug x = 32 into (1):</u>

32 + y = 54

<u>Take away 32 from both sides:</u>

y = 22

-

Answer: The two numbers are 32 and 22.

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Help !!! What is the equivalent exponential expression for the radical expression below
tangare [24]

Answer:

A. \huge \purple {  {(2 + 6)}^{ \frac{1}{2} } }

Step-by-step explanation:

\huge \sqrt{2 + 6}  \\  \\   \huge \red{=  {(2 + 6)}^{ \frac{1}{2} } }

8 0
3 years ago
If M &lt;1 = 115 degrees what is m &lt;2
SIZIF [17.4K]

Answer:

M<2= 65

Step-by-step explanation:

The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.

You would use angle addition postulate to find the answer so M<1 + M<2 = 180.

Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180

Then you would subtract 115 from 180 in which you would get M<2 = 65

6 0
3 years ago
It takes a car 1.75 h to go from mike marker 10 to mile marker 115. what is the average speed of the car?
Black_prince [1.1K]

Answer:

60 mph

Step-by-step explanation:


8 0
4 years ago
What is the common ratio of the geometric sequence below? -5, -10, -20, -40....
const2013 [10]

Answer:

2

Step-by-step explanation:

Between each term you are multiplying the previous term by 2, making 2 the common ration of the sequence.

8 0
3 years ago
The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

5 0
3 years ago
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