What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (
2 answers:
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Answer:
a) OA = 1 unit
b) OB = 3 units
c) AB = √10 units
Step-by-step explanation:
<u>Given function</u>:
Point A is the y-intercept of the exponential curve (so when x = 0).
To find the y-value of Point A, substitute x = 0 into the function:
Therefore, A (0, 1) so OA = 1 unit.
<h3><u>Part (b)</u></h3>If BC = 8 units then the y-value of Point C is 8.
The find the x-value of Point C, set the function to 8 and solve for x:
Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.
<h3><u>Part (c)</u></h3>From parts (a) and (b):
- A = (0, 1)
- B = (3, 0)
To find the length of AB, use the distance between two points formula:
Therefore:
