Answer: x=5, y=-5, z=6
Step-by-step explanation:
x+y+z=6 -> 2x+2y+2z=12
subtract 2x+4y+2z=2 from this, and you get -2y=10 -> y=-5
So, x+z=11 and -x-3z=-23
x+z=11
-x-3z=23
---------
-2z=-12
z=-6
Meaning x=5.
Answer:
Not Possible
Step-by-step explanation:
This uses what is known as the triangle inequality. Basically if you add two sides the sum will be greater than the third, then if you subtract two sides it will be less than the third, keeping in mind to subtract the smaller one from the larger one.
Your sides are 7, 87 and 154
Now, I could go through each and every combination, but right away I can see 87 + 7 is less than 154, so this is not a valid triangle.
Similarly 154-7 is greater than 87 AND 154 - 87 is greater than 7, so btoh of these also mean it is not a valid triangle.
If you it doesn't make sense how I got to this conclusion I can explain.
The expression is simplified to give 2 ( m² + m + 2Im ) = 0
<h3>
How to simplify the expression</h3>
Given the expression;
(1+m)²= (1-m)²+ 4lm,
Expand the expression
( 1 +m) ( 1 + m) = ( 1 + m) ( 1 - m) + 4Im
1 + m + m + m² = 1 - m + m - m² + 4Im
collect like terms
1 + 2m + m² = 1 - m² + 4Im
1 - 1 + m² + m² + 2m + 4Im
2m² + 2m + 4lm = 0
simplify
2 ( m² + m + 2Im ) = 0
Thus, the expression is simplified to give 2 ( m² + m + 2Im ) = 0
Learn more about factorization here:
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Is there anymore to the question? I need some more information to be able to help
Answer:
(y+7)²/364 - (x+8)²/364 = 1
Step-by-step explanation:
This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1
so, (y²+14y+?) - (x²+16x+?) = 251
(y²+14+49)-49 - (x²+16x+64)-64 = 251
(y+7)² - (x+8)² = 251 + 49 + 64
(y+7)² - (x+8)² = 364
(y+7)²/364 - (x+8)²/364 = 1