Answer:
D
Step-by-step explanation:
Answer:
x=7
7-7/7-6=0
0/1=0
Zero divided by anything=0
Answer:
Y = 23°
X = 28°
Step-by-step explanation:
[] First, we can tell that (5y - 4) + (3y) = 180 because the parallel lines allow for corresponding angles, and then they are supplementary;
(5y - 4)° + (3y)° = 180°
5y° - 4° + 3y° = 180°
8y° - 4° = 180°
8y° = 184°
y = 23°
[] Next, we can solve for (5y - 4) and use that number as a corresponding angle to solve for (2x + 13);
5y - 4
5(23) - 4
115 - 4 = 111
[] Last, we will solve for x using the same reasoning as how we solved for y;
111° + (2x + 13)° = 180°
111° + 2x° + 13° = 180°
111° + 2x° + 13° = 180°
124° + 2x° = 180°
2x = 56°
x = 28°
Answer:
Step-by-step explanation:
6y = -5x + 18
y = -5/6x + 3
perp slope: 6/5
y - 7 = 6/5(x - 10)
y - 7 = 6/5x - 12
y = 6/5x - 5
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.
