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Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A
Area = 3.14(r^2)
Area = 3.14(4^2)
Area = 3.14(16)
Area = 50.2
The answer is C
Answer:
Volume of Beads = 84 mm³
Step-by-step explanation:
Given:
Side of base = 6 mm
Height = 7 mm
Find:
Volume of Beads
Computation:
Volume of Beads = Volume of a square pyramid
Volume of Beads = [1/3][Area of base][h]
Volume of Beads = [1/3][6 x 6][7]
Volume of Beads = 84 mm³
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Answer:
- m∠EGF = 50°
- m∠D = 40°
- m∠ABE = 90°
Step-by-step explanation:
The drawing is a bit unfortunate, as it does not show the angles true to size.
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When the altitude (EG) of a triangle (∆DFG) is also a median, then that triangle is isosceles. Both halves are congruent right triangles.
∆GED ≅ ∆GEF
Since these are right triangles, the acute angle not given (∠EGF) is the complement of the one that is given.
m∠EGF = 90° -m∠F = 90° -40°
m∠EGF = 40°
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Of course, angle D in ∆GED is identical to its counterpart in ∆GEF, angle F, so ...
m∠D = 40°
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Because the lines are parallel, angle ABE corresponds (and is congruent) to angle DEG, which is marked as a right angle.
m∠ABE = 90°
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