Answer:D
Step-by-step explanation:
Radius=r=8
Φ=2π/3
π=180
2π=360
length of arc=Φ/360 x 2 x π x r
Length of arc=(2π/3 ➗ 2π) x 2 x π x 8
Length of arc=(2π/3 x 1/2π) x 2 x π x 8
Length of arc=((2πx1)/(3x2π)) x 2 x π x 8
Length of arc=2π/6π x 2 x π x 8
Length of arc=1/3 x 2 x π x 8
Length of arc=(1 x 2 x π x 8)/3
Length of arc=16π/3
Answer:
y = - 
(x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2
Answer:
Step-by-step explanation:
If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.
Answer: x + 9x + (9x - 7)
Simplified: 19x - 7
Step-by-step explanation: We see that Abby already starts off with x dolls. We put a 9 infront of the x for the second part of the expression because Lauren has 9 times as many dolls as Abby. Since Betsy has 7 less than Lauren, we take away 7 from 9x. We put that part in parenthesis because that part needs to be done first before we add everything together. Once simplified, we have "19x - 7". (I really tried my best so I hope this is the correct answer!)
