Answer:
401/99 and 802/198
Step-by-step explanation:
Unfortunately the other answer to this question is wrong - you are looking for something equivalent to 4.0505050505050505, not just 4.05.
Typing the answer suggestions into a calculator you get:
405/99 = 4.0909090909 which is incorrect
401/99 = 4.0505050505 which is correct
81/33 = 2.45454545455 which is incorrect
802/198 = 4.0505050505 which is correct
405/100 = 4.05 which is incorrect as it doesn't repeat.
Hopefully this helps, let me know if you have any questions :)
Answer:
Step-by-step explanation:
So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.
First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:
Plug -2 for one of the slopes.
Divide by -2 to find the slope of our line.
Thus, our line needs to have a slope of 1/2.
Now, let's use the point-slope form. The point-slope form is given by:
Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:
Simplify and distribute:
Subtract 4 from both sides:
The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.
Answer:
see the explanation
Step-by-step explanation:
we have the quadratic equation
This is a vertical parabola open downward
The vertex is a maximum
Find the x-intercepts of the quadratic equation
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0
Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet
Answer:
Step-by-step explanation:
36 : 3 = 12
12 : 3 = 4
...
4/3 : 3 = 4/
Answer: d
Step-by-step explanation: