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Dima020 [189]
1 year ago
10

One number is 6 more than another. The difference between their squares is 204. What are the numbers?

Mathematics
2 answers:
Elenna [48]1 year ago
7 0

Answer: 20 and 14

Step-by-step explanation:

Using a little guess and check, we can figure out that the numbers are 6 apart and the difference between their squares is 204.

20^2 = 400\\14^2=196

20^2-14^2 = 204

A trick to doing this is to start with a number that is easily squared like 10 or 20 and see if the difference between their numbers is larger or smaller and change your numbers based on them.

Hope this helped :)

Crazy boy [7]1 year ago
4 0

Answer:

14 and 20

Step-by-step explanation:

<u><em> Let x and y be two numbers where x < y</em></u><em>.</em>

We are given :

y - x = 6

y² - x² = 204

Then

y - x = 6

(y - x)(y + x) = 204

Then

y - x = 6

6 × (y + x) = 204

then

y - x = 6       (Equation 1)

y + x = 34    (Equation 2)

Then

(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20

Now ,we substitute y by 20 in equation 1 :

y - x = 6

⇔ 20 - x = 6

⇔ 20 - 6 = x

⇔ x = 14

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Answer:

12x+30y

Step-by-step explanation:

6*2x+6*5y

12x+30y

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2 years ago
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1) which problem<br> can be solved using 3 * 7 = 21?
Alexeev081 [22]

Answer:

21=3/7

Step-by-step explanation:

if you divide 21 by 7, you get 3. if you multiply 7x3 or 3x7, you get 21

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3 years ago
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Solve the equation for x
Ivahew [28]

Answer:

x = z - m + y

Step-by-step explanation:

Given:

\displaystyle \large{z = m+x-y}

To solve for x-term, we have to isolate it. We can do by subtracting m-term both sides and add y-term both sides.

\displaystyle \large{z-m+y=m+x-y-m+y}\\\\\displaystyle \large{z-m+y=x}\\\\\displaystyle \large{x=z-m+y}

Therefore, the answer to this question is x = z - m + y

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7 0
2 years ago
Plz help me!!
erma4kov [3.2K]

Answer:

1. x = 65

2. x = 40

3. x = -7

4. x = -4

5. x = -7

6. x = 4

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees.

Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.

1. 180 = 80 + 35 + x

   180 - (80 + 35) = x

   180 - 115 = x

   65 = x

2. 180 = 70 + 70 + x

   180 - (70 + 70) = x

   180 - 140 = x

   40 = x

3.  180 = 76 + 41 + (x+ 70)

    180 - (76 + 41) = x + 70

    180 - 117 = x + 70

    63 = x + 70

    63 - 70 = x

    -7 = x    

4. (the red square means its a right angle = 90 degrees)

   180 = 90 + 25 + (x + 69)

   180 - (90 + 25) = x + 69

   180 - 115 = x + 69

   65 = x + 69

   65 - 69 = x

   x = -4

5. 180 = 50 + (57 +x) + (x + 87)

   180 - 50 = (57 +x) + (x + 87)

    130 = (57 +x) + (x + 87)

  combine like terms

  130 =  144 + 2x  

  130 - 144 = 2x

  -14 = 2x

   -7 = x

6. 180 = 80 + (9x + 4) + (16x - 4)

   180 - 80 = (9x + 4) + (16x - 4)

   100 = (9x + 4) + (16x - 4)

   combine like terms

    100 = 25x + 0

    100 = 25x

    4 = x

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2 years ago
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Answer:

3/2 is the answers for the question

Step-by-step explanation:

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