Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
 
        
             
        
        
        
Answer:
t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Step-by-step explanation:
Solve for t:
4.9 t^2 - 2.78 t - 1.15 = 0
4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:
(49 t^2)/10 - (139 t)/50 - 23/20 = 0
Multiply both sides by 10/49:
t^2 - (139 t)/245 - 23/98 = 0
Add 23/98 to both sides:
t^2 - (139 t)/245 = 23/98
Add 19321/240100 to both sides:
t^2 - (139 t)/245 + 19321/240100 = 75671/240100
Write the left hand side as a square:
(t - 139/490)^2 = 75671/240100
Take the square root of both sides:
t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
 
        
             
        
        
        
Answer:
X ≥ 59.50
Step-by-step explanation:
So to begin, your equation would need to solve for x. X has to be greater than or equal to the minimum amount each player needs to raise for the uniforms. To find how much money they need to raise subtract $224.36 from $759.84 to get $535.48. Divided $535.48 by 9 players to see the minimum amount they each need to contribute. You should get $59.50 roughly. So each player would need to raise greater than or equal to $59.50.
Hope this helps!
 
        
             
        
        
        
Answer:
106.63%. 
Step-by-step explanation:   
We have been given that at the end of 2005, this price was $513. At the end of 2015, it was $1060.
To find the percentage of the price per ounce of gold increase we will use % increase formula.
 
 
Let us substitute our given values in above formula.

 
 


Therefore, the price of per ounce of gold increased by 106.63%.
 
        
             
        
        
        
Answer:
(x-3) (x+10)
Step-by-step explanation: