Answer:
Step-by-step explanation:
A graphing calculator can show you the intercepts.
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Or you can figure them out.
The y-intercept is where x=0, so is ...
y = log(12·0 +7) -3 = log(7) -3 ≈ -2.1549 ≈ -2.15
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The x-intercept is where y = 0, so is ...
0 = log(12x +7) -3
3 = log(12x +7) . . . . . . add 3
10^3 = 12x +7 . . . . . . . take the antilog
993 = 12x . . . . . . . . . . subtract 7
993/12 = x = 82.75 . . . divide by the coefficient of x
Answer:
Here's what I get
Step-by-step explanation:
I plotted the triangles in the diagram below.
Part A
The scale factor for dilation is ½, because every coordinate has been halved.
P (8, 0) ⟶ P' (4, 0)
Q (6, 2) ⟶ Q' (3, 1)
R (-2, -4) ⟶ R' (-1, -2)
Part B
When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
P' (4,0) ⟶ P" (-4,0)
Q' (3,-1) ⟶ Q" (-3,-1)
R' (-1,-2) ⟶ R" (1,-2)
∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).
Part C
∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.
