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Sholpan [36]
3 years ago
14

Using appropriate properties, find the value of 249² - 248²

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

\boxed{\bold{\huge{\boxed{497}}}}

Step-by-step explanation:

=> \sf 249^2 - 248^2

<u>Using Formula</u> \sf a^2 - b^2 = (a+b)(a-b)

<u><em>Where </em></u>

a = 249

b = 248

=> \sf (249+248)(249-248)

=> \sf (497)(1)

=> 497

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x=0.25\,,\,y=1.75\,,\,z=0.25

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For Justin:

6x+8y+5z=16.75\,\,\,(ii)

For Virginia:

5x+5y+7z=11.75\,\,\,(iii)

On subtracting equations (i) and (ii), we get

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5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

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Put y=1.75\,,\,z=0.25 in equation (i)

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