spoo262005
11.11.2021 •
Mathematics
4. What are the coordinates of the x-intercept for the equation y= -1x + 3?
(0, 3)
(3, 0)
(3, 1)
(1, 3)
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Ответ:
very to draw some sort of rough sketch. attached to this answer is a sketch of the circle with the current information. the scale doesn't matter too much.
we use the intersecting chord theorem. according to this theorem, this equation is true:
ae · ce = be · de
we are given that
bd = 7
de = 2
ae = 4
note that the theorem does not use bd. but bd is the length of an entire chord, and de is a portion of that chord. if we subtract de from bd, we should get be (the diagram to visualize):
be = bd - de
be = 7 - 2 = 5
if we use the theorem and solve for ce, we get
ce = be · de / ae
using our information
ce = 5 · 2 / 4
ce = 2.5