For all points that lie on the y-axis, the x-coordinate is zero.
Answer:
f(x) + k
Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.
Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units
Hope this helps :)
Answer: A point in geometry/math is a location that has no size, meaning it has no width, no length, and no depth.
SOLUTION
From the image in the question, we can see that it is a right triangle problem.
And we can use the Pythagoras theorem to solve for the length of cable wire needed.
Pythagoras theorem states that:
![\begin{gathered} x^2=16+9 \\ x^2=25 \\ \text{Take the square roots of both sides:} \\ \sqrt[]{x^2}=\sqrt[]{25} \\ x=5ft \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D16%2B9%20%5C%5C%20x%5E2%3D25%20%5C%5C%20%5Ctext%7BTake%20the%20square%20roots%20of%20both%20sides%3A%7D%20%5C%5C%20%5Csqrt%5B%5D%7Bx%5E2%7D%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20x%3D5ft%20%5Cend%7Bgathered%7D)
Final Answer:
A cable of length 5 feet is needed.
3 copies of 1/6 is 3/6 and when simplified it equals 1/2<span />
