An applicable equation of a vertical parabola in vertex form is:
y-k = a(x-h)^2
Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex. Then,
4-(-1) = a(2-[-1])^2, which becomes 5 = a(9). Therefore, a = 5/9, and the
equation of the parabola is
y+1 = (5/9)(x+1)
Answer:
Swimming one time around the pool is 56.5 ft
Step-by-step explanation:
Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.
The circumference of the circle is calculated using:

where d=18 is the diameter and π=3.14 as given.
We substitute the values to get:


We approximate to the nearest tenth to get:

An acute angle measures less than 90 degrees, a right angle measures 90 degrees and, obtuse angle measures more than 90 degrees
Answer:
Step-by-step explanation:
<u>Given inequality:</u>
<u>Since b is negative, when multiplied by b, the inequality changes to opposite direction:</u>
Answer:
51
Step-by-step explanation:
See the other answer