Answer:
An expression to represent the number of butterflies he has is y = 12 + 2x
Step-by-step explanation:
Let the number of butterflies in Eduardo’s collection be y
Then according to the question
The number of moths = x
The number of butterflies y = 12 + twice the number of moths---------(1)
Twice the number of moths =
Twice the number of moths = 2x -----------------------(2)
Substituting equation (2) in (1)
The number of butterflies y = 12 + 2x
Answer:
a, c) see below
b) trapezoid
d) 80 square units
Step-by-step explanation:
a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.
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d) The area of the original is ...
A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5
Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.
The area of the larger trapezoid is ...
5 × 16 = 80 . . . . square units
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Of course, you can use the area formula, too:
A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units
