The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.
Answer:
(a) x = -1.10 and x = 1.10
Step-by-step explanation:
A straightforward square root will give the value of x.
<h3>Solution</h3>
Divide by the coefficient of x^2:
x^2 -30/25 = 0
x^2 -1.20 = 0
Add 1.20, and take the square root.
x^2 = 1.20
x = ±√1.20 ≈ ±1.0954
x ≈ -1.10 and 1.10 . . . . . round to hundredths
__
<em>Additional comment</em>
For small values of x, the root of (1+x) is approximately 1+x/2. For a root accuracy to the nearest hundredth, x < 0.21 (as here). For accuracy to the nearest thousandth, x < 0.064.
Answer:
14.9 km/hr
Step-by-step explanation:
We know
Speed = Distance/ Time
v = 82km / 5.5 hr
v = 14.90 km/hr
Answer:
It will cost Lou $28.86 to fill the tank
Step-by-step explanation:
Lou's tank holds 14 gallons. It has 6.2 gallons in it.
14- 6.2 = 7.8
Lou can put in 7.8 gallons to fill it.
7.8 gallons and $3.70
7.8 * 3.7 = $28.86
It will cost Lou $28.86 to fill the tank
Remember:
sin²x + cos²x = 1
(-5/13)² + cos²<span>θ = 1
(25/169) + cos²</span><span>θ = 1
cos²</span><span>θ = 1 - (25/169)
cos²</span><span>θ = (144/169)
tan </span>θ > 0 ⇒ cos<span>θ = negative
cos</span>θ = -√(144/169)
cos<span>θ = -(12/13)</span>
