Answer:
1.88×10^15
Step-by-step explanation:
3.2*10^2 LY ( 5.88*10^12 mi/LY)
= 18.8 * 10^14 mi
= 1.88 * 10^15 mi
Answer:
Step-by-step explanation:
0.95
Answer:
<h3>
![x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\](https://tex.z-dn.net/?f=x%20%3D%205%20%20%2B%20%20%5Csqrt%7B35%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3Aor%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%205%20-%20%20%5Csqrt%7B35%7D%20%20%5C%5C)
</h3>
Step-by-step explanation:
x² - 10x + 25 = 35
Move 35 to the left side of the equation
That's
x² - 10x + 25 - 35 = 0
x ² - 10x - 10 = 0
Using the quadratic formula solve the equation
That's
<h3>
![x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20b%5Cpm%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20-%204ac%20%7D%20%7D%7B2a%7D%20)
</h3>
From the question
a = 1 , b = - 10 , c = - 10
Substitute the values into the above formula and solve
That's
![x = \frac{ - - 10\pm \sqrt{( { - 10})^{2} - 4(1)( - 10) } }{2(1)} \\ = \frac{10\pm \sqrt{100 + 40} }{2} \\ = \frac{10\pm \sqrt{140} }{2} \\ = \frac{10\pm2 \sqrt{35} }{2} \\ = \frac{10}{2} \pm \frac{2 \sqrt{35} }{2} \\ = 5\pm \sqrt{35}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20%20-%2010%5Cpm%20%5Csqrt%7B%28%20%7B%20-%2010%7D%29%5E%7B2%7D%20-%204%281%29%28%20-%2010%29%20%7D%20%7D%7B2%281%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%5Cpm%20%5Csqrt%7B100%20%2B%2040%7D%20%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%5Cpm%20%5Csqrt%7B140%7D%20%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%5Cpm2%20%5Csqrt%7B35%7D%20%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%7D%7B2%7D%20%5Cpm%20%5Cfrac%7B2%20%5Csqrt%7B35%7D%20%7D%7B2%7D%20%20%5C%5C%20%20%3D%205%5Cpm%20%5Csqrt%7B35%7D%20)
We have the final answer as
<h3>
![x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\](https://tex.z-dn.net/?f=x%20%3D%205%20%20%2B%20%20%5Csqrt%7B35%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3Aor%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%205%20-%20%20%5Csqrt%7B35%7D%20%20%5C%5C%20)
</h3>
Hope this helps you
Answer:
a)12 b)12 c)36
Step-by-step explanation:
a)find least common multiple. the number of marbles is that number * n (where n is an integer)
b) the least common multiple. it is 4*3=...
c)12*3 =?
then just divide by 2,3,4 to get answer