We can complete the square to get a standard form quadratic into vertex form. First, add Y and 34 to the right side of the equation. You’ll get -5x^2 + 30x = y + 34.
Next, you need to factor out a -5 from the left side, so you’ll get -5(x^2 -6x) = y + 34. Then, complete the square on the left. You’ll get -5(x-3)^2 = y - 11. Finally, add 11. The answer is y = -5(x-3)^2 + 11
15. true 16. false in my coculations.
Answer:
V ≈ 2011 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = area of base × perpendicular height
V = πr²h ( r is the radius and h the height )
Here r = 8 and h = 10, thus
V = π × 8² × 10
= π × 64 × 10 = 640π ≈ 2011 cm³ ( to nearest whole number )
Answer:
18.326 inches
Step-by-step explanation:
The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing 
, and we ge that θ is 
so ()(5)= 18.326 inches
Answer:
You are trying to find the x-value when the y-value is 2. On the graph, the x-value is -3 when the y-value is 2. So, the x-value when f(x)=2 is -3.
:)
