<span>Given that the orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a^(3/2).
If Saturn’s orbital period is 29.5 years, then
29.5 = a^(3/2)
a = (29.5)^(2/3) = 9.547
Therefore, Saturn's distance from the sun is 9.547 astronomical units.</span>
X = 0.72423357
"Create equivalent expressions in the equation that all have equal bases, then solve for x"
Answer:
(x+1)^2 = 49
x = 6 x = -8
Step-by-step explanation:
x^2 + 2x – 48 = 0
Add 48 to each side
x^2 + 2x =48
Take the coefficient of x
2
Divide by 2
2/2=1
Square it
1^2 =1
x^2 + 2x +1=48+1
x^2 +2x+1 = 49
(x+1)^2 = 49
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 49)
x+1 = ±7
Subtract 1 from each side
x+1-1 = -1 ±7
x = -1+7 x = -1 -7
x = 6 x = -8
-96+48i is the answer and check photo for steps
Answer:
w = 13
Step-by-step explanation:
Using the method of cross- multiplying
• 
= 
⇒ ad = bc, thus
42(w + 11) = 28(w + 23) ← distribute parenthesis on both sides
42w + 462 = 28w + 644 ( subtract 28w from both sides )
14w + 462 = 644 ( subtract 462 from both sides )
14w = 182 ( divide both sides by 14 )
w = 13
