Answer:
50$
Step-by-step explanation:
$1.25x40= 50 so she would have to pay 50$
The y value of the vertex is 121.
We can find this by first finding the x value of the vertex. The x value of the vertex in a quadratic equation will always be half way between the two zeros. We can find the zeros by setting each parenthesis equal to 0 and solving for x.
Zero #1
(x + 8) = 0 ---> subtract 8 from both sides.
x = -8
Zero #2
(x - 14) = 0 ----> add 14 to both sides.
x = 14
Since we know that the x value of the vertex must be in the middle of these two, we can take the average of them to find it.
(-8 + 14)/2 = 3
So the x value is 3. Now we can plug that into the equation for all of the x's to get the y value.
f(x) = -(x + 8)(x - 14)
f(3) = -(3 + 8)(3 - 14)
f(3) = -(11)(-11)
f(3) = 121
So the y value is 121.
If she arrives by boat;
The distance she needs to row = Lake diameter
Distance = Lake diameter = 2 x Radius
Boat distance = 2 x 2 miles = 4 miles
So;
When moving on foot
The distance that needs to be moved D = Half of the circle circle
∴ D = π × Radius
The distance that needs to be moved D = π × 2 miles = 2π Miles
Arc length = Radius × θ
String length = radius x 2 x sin (θ / 2)
0 ≤ θ ≤ π, 0 ≤ sin (θ / 2) ≤ 1
Learn more here shore of a circular at
brainly.com/question/16597466
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Answer:
B, 51, 60, 69
Step-by-step explanation:
15 + 9 = 24
24 + 9 = 33
33 + 9 = 42
So the next numbers should be 9 "away" from the previous number.
42 + 9 = 51
51 + 9 = 60
60 + 9 = 69
So the answer is B