Answer:
Step-by-step explanation:
There is a y² term, so the parabola is horizontal.
Vertex-form equation for a horizontal parabola:
x = a(y-k)² + h, where (h,k) is the vertex
If a>0, then
the parabola opens to the right
focal length p = 1/(4a)
focus (h+p,k)
directrix: x=h-p
endpoints of latus rectum: (h+p,k±2p)
Put equation into vertex form.
x = (1/12)y²
vertex (0,0)
focal length p = 1/(4·1/12) = 3
focus (0+p,0) = (3,0)
directrix: x = 0-p = -3
endpoints of latus rectum: (3,±6)
1 15/30 or 1 1/2 because 15 is half of 30 so reducing it would make it 1 and 1/2
Answer:
Distance = 5 units
Step-by-step explanation:
The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).
<h2>Solution:</h2>
In order to find the distance between two points, we can use the following distance formula:
Let (x₁, y₁) = (1, 5)
(x₂, y₂) = (5, 2)
Step 1: Substitute points into the formula:
Step 2: Subtract the integers in each of the parenthesis under the radical:
Step 3: Evaluate the powers (exponents):
Step 4: Add 16 and 9:
Step 5: Take the square root of 25:
⇒ Distance (D) = 5 units.
<h2>Final Answer:</h2>
Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.
<h3>________________________</h3>
<u><em>Keywords:</em></u>
Distance formula
Two points
____________________________
Learn more about about this topic here:
brainly.com/question/17119550
Answer:
237600 feet per hour
Step-by-step explanation:
there are 5280 feet in a mile
if he is going 45mph you multiply 45 by 5280
45 x 5280 = 237600
Answer:10.8311
Step-by-step explanation: yuh