Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
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Yes. A trapezoid is defined as a <span>quadrilateral with two sides parallel, so a trapezoid with three right angles is just a square!</span>
Answer:
B, C, E, F
Step-by-step explanation:
The following relationships apply.
- the diagonals of a parallelogram bisect each other
- the diagonals of a rectangle are congruent
- the diagonals of a rhombus meet at right angles
- a rectangle is a parallelogram
- a parallelogram with congruent adjacent sides is a rhombus
__
CEDF has diagonals that bisect each other, and it has congruent adjacent sides. It is a parallelogram and a rhombus, but not a rectangle. (B and C are true.)
ABCD has congruent diagonals that bisect each other. It is a parallelogram and a rectangle, but not a rhombus. (There is no indication adjacent sides are congruent, or that the diagonals meet at right angles.) (E and F are true.)
The true statements are B, C, E, F.
Half of perimeter (or length+ width) is:
222 mm /2= 111 mm.
111 mm- 60 mm= 51 mm
The width of the rectangle is 51 mm~
