The x coordinate of Q would be 5.
In order to find this, first note that P and R are exactly 2 away from each other (-1 to -3 is two away).
Now, we know that Q is 3 times as far away from R as P is given the ratio at the beginning. Therefore we know it is 6 away from R (2 * 3 = 6).
Now we simply add 6 to the R value to get the Q value.
-1 + 6 = 5
Answer:
0
Step-by-step explanation:
This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.
y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"
Comparing to your equation, you see ...
a = -1/2, h = 3, k = -1
The vertex is (h, k) = (3, -1). The vertical scale factor is negative.
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This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)
Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.
(3posts x 15 centimeters) + 2gaps x Xcentimeters = 153centimeters
45 + 2X = 153
2X = 108
X = 54 centimeters