The equation of the vertical parabola in vertex form is written as
Where (h, k) are the coordinates of the vertex and p is the focal distance.
The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.
Using this value for p and (3, 1) as the vertex, we have our equation
Answer:
Step-by-step explanation:
Given the total cost of the building expressed as;
C = 4550F + 37.5
C is the total cost
F is the length of the fence
Given
C = $352.50
Required
The length of the fence F
Substitute into the formula;
C = 4550F + 37.5
$352.50 = 4550F + 37.5
4550F = 352.50 - 36.5
4550F = 316
F = 316/4550
F = 0.0695 feet
hence 0.0695 feet of fence will cost $352.50
Kate needs to swim 40 laps to come complete 66 laps
It would be 80% since it decreases 20% each year so 20*4 is 80 so it’s 80%
Answer:
110 degrees, 84 degrees
Step-by-step explanation:
Picture 1:
See attached image for the angles I am referencing.
measure of angle a= measure of the 110 degree angle because of corresponding angles
measure of angle b=measure of angle a because of vertical angles
Therefore, through transitivity, we can state that the measure of
angle b= angle a= 110 degrees
Picture 2:
angle x=84 degree angle through alternate interior angles.
