X - 2 = 7 , x - 2 = - 7
x = 9 , x = - 5
![\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7Bn%7D%3C%20%5Csqrt%7B2n%2B5%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsquaring%20both%20sides%7D%7D%7Bn%3C%202n%2B5%7D%5Cimplies%200%5Cleqslant%202n%20-%20n%20%2B%205%20%5C%5C%5C%5C%5C%5C%200%20%3C%20n%2B5%5Cimplies%20%5Cboxed%7B-5%20%3C%20n%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B-5%5Cleqslant%20n%20%3C%202%7D%7B%5Cboxed%7B-5%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B3em%7D%7B0.25pt%7D2%7D)
namely, -5, -4, -3, -2, -1, 0, 1. Excluding "2" because n < 2.
Answer: A
Step-by-step explanation:
Angles opposite shorter sides of a triangle are smaller, and angles opposite longer sides in a triangle are larger.
Answer:
Then the solution is (-1/4, 3)
Step-by-step explanation:
Start by eliminating the fractional coefficient 1/4: multiply all 3 terms in the second equation by 4. This results in equation (b), below:
4x - 3y = -10 (a)
4x = y -4 (b)
Substitute y - 4 for 4x in equation (a):
y - 4 - 3y = -10
Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.
Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4
Then the solution is (-1/4, 3)
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
