Item: The function f(x) is graphed below.
2 answers:
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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.
Answer:
The width will be
Step-by-step explanation:
Thinking process:
Let the model be:
factoring out 4 gives:
Factorizing the expression in the parentheses gives:
Therefore, since the expression in the parentheses cannot be factorized further, the expression is:
Answer:
Step-by-step explanation:
∠IHG = ∠IHW + ∠WHG
36x + 2 = 16x - 3 + 65
36x + 2 = 16x + 62
Subtract 2 from both sides
36x = 16x + 62 - 2
36x = 16x + 60 {Subtract 16x from both sides}
36x - 16x = 60
20x = 60 {Divide both sides by 20}
x = 60/20
x = 3
