The coordinates of image of vertex D after a reflection across the x-axis is (5, 3).
A) square
B)square based pyramid
Step-by-step explanation:
3(-30x - 15y = -30) ...........(i)
15(6x + 3y = 6) ..............(ii)
Now,
-90x -45y = -90
90x +45y = 90
_____________
Every term is cancelled. so this system has no any solution so it means solution does not exist (DNE)
Answer:
( 2 , -1 )
Step-by-step explanation:
Given:-
A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function of penguin height above/below the water is given by:
y = x^2 - 4x + 3
Find:-
-The extreme value (vertex) of the parabolic path
Solution:-
- The vertex ( turning point - minima or maxima ) can be evaluated by taking the first derivative of the given function and setting it equal to zero.
dy/dx = 2x - 4
0 = 2x-4
- Then solve for the critical value of function "x":
x = 4/2 = 2 ft
- The vertex can be evaluated by substituting the critical value of "x" back into the function and evaluate for y:
y = (2)^2 -4*2 + 3
y = 4 - 8 + 3
y = -1 ft
- The vertex of parabolic path lies at the coordinates ( 2 , -1 ). That is 2ft horizontal and 1 ft under water.