Equation: 3(2y+4)=4(2y-1/2)
Multiply: 6y+12=8y-2
Combine like terms: 14=2y
Solve: Y=7 :)
A parabola with focus of (3, 4) and a directrix of y = 0 has the equation of the parabola as
<h3>How to write the equation of parabola </h3>
Quadratic equation is equal to parabolic equation, when the directrix is at y direction is of the form:
(x - h)² = 4P (y - k)
OR
standard vertex form, y = a(x - h)² + k
where a = 1/4p
The focus
F (h, k + p) = (3, 4)
h = 3
k + p = 4
P in this problem, is the midpoint between the focus and the directrix
P = (4 - 0) / 2 = 2
p = 2
the vertex
v(h, k)
h = 3
k + p = 4, k = 2
v(h, k) = v(3, 2)
substitution of the values into the equation gives
(x - h)² = 4P (y - k)
(x - 3)² = 4 * 2 (y - 2)
(x - 3)² = 8 (y - 2)
y = 1/8(x - 3)² + 2
The quadratic equation is of the form y = 1/8(x - 3)² + 2
Learn more about vertex of quadratic equations at:
brainly.com/question/29244327
#SPJ1
Answer:
Step-by-step explanation:
As we know that in an hour there are 3600 seconds so
1.8 x 3600 = 6480
6480 / 1609 = 4.02 miles / hr
4.02 - 2.5 = 1.5( by substracting the speed)
so correct option is D which is
Talia swims about 1.5 miles per hour faster than Alina
hope it helps
Hello!
To find the area of a rectangle you do length * width
You can plug in the values you know
(x - 2) * 5 = 30
Divide both sides by 5
x - 2 = 6
Add 2 to both sides
x = 8
The answer is 8
Hope this helps!
