<span>A parabola that has a horizontal directrix is a parabola that opens up or down.
Here are some of its components:
1) Standard equation of a parabola with a horizontal directrix: (x-h)^2 = 4a(y-k),
a = distance from vertex to focus
2) Vertex at (h,k)
3) Focus(h,k+a)
4) Directrix: y = k-a
5) Axis of symmetry: x = h
A parabola that has a vertical directrix opens to the right or left and is on its side.
Here are some components
1) Standard equation of a parabola with a vertical directrix: (y-k)^2 = 4a(x-h)
2) vertex (h,k)
3) focus (h+a,k)
4) directrix: x = h-a
5) Axis of symmetry: y = k
Hopes this helps :)</span>
Step-by-step explanation:
3x(x2 + 2x – 6) + 4(x2
– 6x + 2)
Answer:
10 degrees
Step-by-step explanation:
1.) every triangle has angles that add up to 180 degrees
2.) a right triangle has a right angle and two acute angles
3.) right=90 degrees; acute=<90 degrees
4.) 90+80=170
5.) 180-170=10
Find what 9 ft is equal to. 9 ft equals 3 yards. 4 yards equals 12 ft. So the answer is No. 9 ft is not greater than 4 yards. Hoped I helped. :)
Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD
We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x
Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625
So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to
10.0 meters when rounding to the nearest tenth (one decimal place)
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Answer: choice D) 10.0 m