Answer:
To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.
Answer:
D.
Step-by-step explanation:
Answer:
the road is 142 ft away from the center of the bridge tower.
Step-by-step explanation:
Since, the bridge tower is standing vertical to the the road, therefore, the angle made by it is a right angle.
Therefore, the triangle made by cable(hypotenuse) and bridge tower (Perpendicular) on road (base) must be a right angled triangle.
Therefore, by Pythagoras theorem, we have
H² = P²+ B²
P²=H²-B²
P²=(245.9)²-(200.7)²
P=√20186.32=142.07
a^2 - b^2 = (a + b)(a - b)
so
x^2 - 25
= x^2 - 5^2
= (x + 5)(x - 5)
Answer is B. (x + 5)(x - 5)