x < -23/2
Step-by-step explanation:
you open the bracket first
LHS
3-(2x - 5)
-6x+15
RHS
-4(x+2)
=-4x-8
therefore:
-6x+15 < -4x-8
By collecting the like terms
-6x+4x < -8-15
=-2x<-23
Divide both side by -2x
-2x/-2 < -23/-2
x < -23/2
Answer:
= a⁸/b⁻¹⁰
Step-by-step explanation:
Simplify the expression
(a^2b^-3/a^-2b^2)^2
= a⁴b⁻⁶/a⁻⁴b⁴
Using the law of indices
= a⁴⁻⁽⁻⁴⁾/b⁻⁶⁻⁴
= a⁴⁺⁴/b⁻¹⁰
= a⁸/b⁻¹⁰
Radical 2 = 1.4 So 1.4 * 6 = 8.4
a^2 + b^2 = c^2
8.4^2 + 8.4^2 = square root of c
70.56 + 70.56 = 141.12 ≈ 141
Then you must find the square root of 141 which is 11.874 ≈ 11.9
Side a = 8.4
Side b = 8.4
Side c = 11.9
You'll notice that 36's prime factors had 2 even, and none other had an even number of even prime factors. Therefore, if you have an even number of even prime factors, your square root will be rational given the data
1/5 of 152 is 30.4
1/2 of 152 is 76
1/4 of 152 is 38
hope this helped :)