Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
-3x=x^2+6x+8
0=x^2+9x+8
The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.
After doing this, we realize that only -1 works, so the answer is x=-1
Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)
Best wishes:)
Actually, i think something is missing here:
You need either a parenthesis or some dots at the end to determine this. A repeating decimal can have one repreating digit:
0.(7): 0.777777...
two:
0.(45): 0.45454545454545....
or more: so potentially all of them can be repeating, even a!
it could be: 1.(111114)
or: 1.111114111114111114111114111114111114111114111114111114111114111114111114111114...
proably B. is the most typical of repeating decimals (choosed this one if you have to), but in reality, you need more information... did you copy the question exactly?
Answer:
One glass of iced tea cost $2.72
Step-by-step explanation:
Let,
x be the amount of gift card.
y be the amount of one glass of iced tea.
According to given statement;
Julie and her friend bought tea and remaining balance was $14.85
x - 2y = $14.85 Eqn 1
All the six members bought tea and remaining balance was $3.97
x - 6y = $3.97 Eqn 2
Subtracting Eqn 2 from Eqn 1

Dividing both sides by 4

Hence,
One glass of iced tea cost $2.72
Answer:
Step-by-step explanation:
1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 10² + 24²
h = √676
h = 26
(b). Hypotenuse² = (Leg 1)² + (Leg 2)²
(25)² = (15)² + (leg 2)²
Leg 2 = √(625 - 225)
= √400
= 20
(c). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 4² + 6²
h = √(16 + 36)
h = √52
h = 2√13
(d). Hypotenuse² = (Leg 1)² + (Leg 2)²
(14)² = (Leg 1)² + 7²
Leg 1 = √(196 - 49)
= √147
= 7√3
2). Hypotenuse² = (Leg 1)² + (Leg 2)²
Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]
h² = 7² + 7²
h = √98
h = 7√2
Option (1) is the correct option.
3). Hypotenuse² = (Leg 1)² + (Leg 2)²
(26)² = (Leg 1)² + (10)²
Leg 1 = √(676 - 100) = 24
Area of a right triangle = 
= 
= 120 square units
Option (3) is the correct option.