Answer:
A
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2π × 6 ×
= 12π ×
= ≈ 14.1 in
Answer:
6x+15
Step-by-step explanation:
7(2x+5)-4(2x+5)
distributive property
(14x+35)-(8x+20)
combine like terms
(14x-8x)+(35-20)
simplify
6x+15
The focus is above the directrix 4 units (the difference between y=2 and y=6), so you know the parabola opens upward. The distance from either to the vertex is half that, or 2 units. If you call this distance p, the equation of the parabola with vertex (h, k) can be written as
... y = 1/(4p) × (x-h)² +k
In some parts of the world, this is the form referred to as "standard form." Filling in the numbers p = 2, (h, k) = (-5, 4), this is
... y = (1/8)(x +5)² +4
Elsewhere, "standard form" has this multiplied out.
... y = (1/8)x² + (5/4)x + 57/8
_____
Multiplying out (x+a)² gives x² +2ax +a².
Answer:
Franco has 66 baseball cards.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of baseball cards that Franco has.
y is the number of baseball cards that Juan has.
Franco has 18 fewer baseball cards than Juan.
This means that:
Also:
Together they have 150 baseball cards.
This means that:
Since
Franco has 66 baseball cards.