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Arturiano [62]
3 years ago
6

If x + y = 10 and x - y = 4, find the value of x² - y²

Mathematics
2 answers:
morpeh [17]3 years ago
8 0

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>

kondaur [170]3 years ago
3 0

Answer:

x² - y²=40 or 7²-3²=40

Step-by-step explanation:

if x=7 that would make y=3

7+3=10 and 7-3=4

7x7=49

3x3=9

49-9=40

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In a game of football outdoors on a cold day, a player will begin to feel exhausted after using approximately 8.0 × 105 J of int
Julli [10]

Answer:

a) How much work has he done = dW = 1.3 × 105 J

b) What is the magnitude of the heat that he has lost = dQ = -5.4 × 105 J

Step-by-step explanation:

  • From the first law of thermodynamics; dQ = dU + dW
  • dU = -8.0 × 105 J
  • dQ = -6.7 × 105 J

Hence, work done dW = dQ - dU

dW = -6.7 × 105 J - ( -8.0 × 105 J)

dW = 1.3 × 105 J is the work done by the player

  • for heat lost; from dQ = dW + dU
  • dU = -8.0 × 105 J and dW = 2.6 × 105 J
  • heat lost dQ = 2.6 × 105 J + ( -8.0 × 105 J)
  • dQ = -5.4 × 105 J
  • The negative is as a result of heat lost by the player

6 0
3 years ago
Find the value of x. The angle measures of a right triangle are <br>30°<br>2x°<br>3x°​
Radda [10]

Answer:

30

Step-by-step explanation:

Exterior angle equals sum of opposite interior angles

3x = 2x + 30

3x - 2x = 30

x = 30

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Read 2 more answers
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