Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Your ratio is 6:5
This means that it is 6/5.
You have to find a common number to either divide or multiply that can work for both the numerator and denominator.
6/5 doesn't have any common number to divide without getting a remainder
But we can multiply by a common number such as 2
6×2 = 12
5×2 = 10
= 12/10. ☆= the ratio is 12 : 10
or even by 3, =the ratio 18:15
The rate of change is simply the derivative of a function with respect to the other variable. In this case the rate of change with respect to x is desired. Therefore
f(x) = x^3 - 3x^2
f'(x) = 3x^2 - 6x
therefore the rate of change of y with respect to x is dy/dx = 3x^2 - 6x
Id think the awnser is 7x=35 but not sure.
Answer:
(- 35, - 5 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), hence
(- 35, 5 ) → (- 35, - 5 )
