Answer:
Step-by-step explanation:
W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form 
.
We know that vertex form of parabola in form 
, where (h,k) in vertex of parabola.
Upon substituting coordinates of vertex, we will get:
To find the value of a, we will substitute coordinates of point (0, -1) as:
Therefore, our required equation would be .
Answer:
{x,y} = {8,3}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] 4y = 2x - 4
[2] y = x/2 - 1
// Plug this in for variable y in equation [1]
[1] 3x - 4•(x /2-1) = 12
[1] x = 8
// Solve equation [1] for the variable x
[1] x = 8
// By now we know this much :
x = 8
y = x/2-1
// Use the x value to solve for y
y = (/2)(8)-1 = 3
Answer:
cary
Step-by-step explanation:
The length of arc PS from the information given in the task content is; 31.5 ft.
<h3>What is the length of the arc PS?</h3>
It follows from the task content that;
- Point T is the center of the circle and line TR is the radius of the circle.
- Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.
On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
Read more on length of an arc;
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Answer: a
Step-by-step explanation:
