(x-3)2+(y-4)2=24
2x-6+2y=24
2x-14+2y=24
2x=24+14-2y
2x=38-2y
x=19-y
Answer:
#1 - All real numbers are solutions.
#2 - All real numbers are solutions.
Step-by-step explanation:
#1 -
Let's solve your equation step-by-step.
12(6t−4)=3t−2
Step 1: Simplify both sides of the equation.
12(6t−4)=3t−2
(12)(6t)+(12)(−4)=3t+−2(Distribute)
3t+−2=3t+−2
3t−2=3t−2
Step 2: Subtract 3t from both sides.
3t−2−3t=3t−2−3t
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Same for #2
Answer:
D
Step-by-step explanation:
D is a function because it passes the vertical line test, meaning that you can draw a vertical line anywhere through the graph and it will only it the lines one time.
The flight is in the shape of a parabola with a vertex 5 feet above the water and 1/2 * 33 = 16.5 feet horizontally from the point of leaving the water
y = a(x - h)^2 + k
where (h,k) is the vertex of the parabola and here it is (5 , 16.5), so we have the function:-
y = a(x - 16.5)^2 + 5
when x = 0 y = 0 so
0 = a(-16.5)^2 + 5
which gives a = -0.018365
So our function for the flight path is
y = -0.018365(x - 16.5)^2 + 5 Answer
Answer:
The correct option is 4. Neither A nor B represents a function.
Step-by-step explanation:
The given sets of ordered pairs are
A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.
In set A the value of y-coordinates are -5 and 7 at 
.
At x=8, there exist more than one value of y, so the set A is not a function.
In set B the value of y-coordinates are -4 and -2 at 
.
At x=7, there exist more than one value of y, so the set B is not a function.
Therefore neither A nor B represents a function and option 4 is correct.
