<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>
y = 2x<span> 2</span><span> + 8 x + 5 </span>
Complete square and determine vertex.
y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>
= 2(x + 2)<span> 2</span><span> - 3 </span>
<span>vertex at (- 2 , - 3) </span>
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
Answer:
Part A = 64 feet
Part B = 79 feet
Step-by-step explanation:
Part A
10 × 2 = 20 = Diameter
Formula is C = π × diameter
20 × π = 62.8318530718 feet = 64 feet
Part B
25 × 2 = 50
Same formula
50 × π = 157.079632679 feet
157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet
divide by 2 because it is a semi circle
Hope his helped :)
The answer is C. 30.5% :)
Answer:
Kevin is going to be able to have enough money for the concert the fastest
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
<u>Philip</u>
- $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
Let's call x to the number of weeks Philip needs to reach $225.
52.5*x + 45 = 225
52.5*x = 225 - 45
x = 180/52.5
x = 3.43
He needs at least 4 weeks
<u>Kevin</u>
- 3 hours/day * $7.5/hour *3 days/week = $67.5/week
Let's call y to the number of weeks Kevin needs to reach $225.
67.5*y + 30 = 225
67.5*y = 225 - 30
y = 195/67.5
y = 2.9
He needs at least 3 weeks
