Answer:
Distance traveled by the snowball = 45feet
Step-by-step explanation:
The distance traveled by the snowball = distance of hypothenus for both Right angle triangle
1st pythagoras =
X² = 20² + 15²
X = (20² + 15²)¹/² = 25 feet
2nd pythagoras =
X² = 16² + 12²
X = (16² + 12²)¹/² = 20 feet
Distance traveled by the snowball = 20 + 25 = 45feet
Answer: Approximately 7.4162
Step-by-step explanation:
hello :<span>
<span>an equation of the circle Center at the
O(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a =0 and b = 0 (Center at the origin)
r = AO
r² = (AO)²
r² = (4-0)² +(5-0)² = 16+25=41
an equation of the circle that satisfies the stated conditions.
Center at the origin, passing through B(4, 5) is : x² +y² = 41</span></span>
x² +y² - 41=0
The weather dropped 2 degrees for every hour is snowed.
Hope this helps!
Answer:

(b) Yes, it is divisible by 9
Step-by-step explanation:
Given

Solving (a): Complete the blanks
![6m(3m + 21) = 9 [\ ]](https://tex.z-dn.net/?f=6m%283m%20%2B%2021%29%20%3D%209%20%5B%5C%20%5D)
Expand the bracket
![6m(3[m + 7]) = 9 [\ ]](https://tex.z-dn.net/?f=6m%283%5Bm%20%2B%207%5D%29%20%3D%209%20%5B%5C%20%5D)
![6m*3(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=6m%2A3%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
Express 6m as 2m * 3
![2m*3*3(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=2m%2A3%2A3%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
![2m*9(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=2m%2A9%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
Rewrite as:
![9 * 2m(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=9%20%2A%202m%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
Multiply the bracket by 2m
![9 * (2m^2 + 14m) = 9 [\ ]](https://tex.z-dn.net/?f=9%20%2A%20%282m%5E2%20%2B%2014m%29%20%3D%209%20%5B%5C%20%5D)
Divide both sides by 9
![2m^2 + 14m = [\ ]](https://tex.z-dn.net/?f=2m%5E2%20%2B%2014m%20%3D%20%5B%5C%20%5D)
<em>Hence, the bracket will be filled with: </em>
<em></em>
<em>So:</em>

Solving (b): Is
divisible by 9?
In (a), we have:

The leading factor "9" implies that the expression is divisible by 9