Answer:
diameter ≈ 11 feet
Step-by-step explanation:
The area (A) of a circle is calculated using the formula
A = πr² ← r is the radius
To find r divide both sides of the equation by π
r² = =
Take the square root of both sides
r = ≈ 5.5 feet
Diameter = 2r = 2 × 5.5 = 11 feet
Answer:
Step-by-step explanation:
We have the function:
And we want to find x=d for which the minimum/maximum value will occur.
Notice that our function is a quadratic in factored form.
Remember that the minimum/maximum value always occurs at the vertex point.
And remember that the x-coordinate of the vertex is the axis of symmetry.
Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.
Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.
Our factors are <em>(x-2) </em>and <em>(x-1)</em>.
Therefore, our roots/zeros are <em>x=1, 2</em>.
So, the average of them are:
Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.
Alternative Method:
Of course, we can also expand to confirm our answer. So:
The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.
And the formula for the vertex is:
So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:
Confirming our answer.
Answer:
3/10 of the total distance to her grandmother's house was traveled on Sunday
Step-by-step explanation:
Carly's family traveled distance of Saturday =
Remaining distance =
They traveled 3/7 of the remaining distance on Sunday.
So, Distance traveled on Sunday =
Distance traveled on Sunday =
Fraction of the total distance to her grandmother's house was traveled on Sunday =
Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday