Answer:
For the first table: (0, 10) (1, 15) (2, 20) (3, 25) (4, 30)
For the second table: (-2, 1.04) (-1, 1.2) (0, 2) (1, 6) (2, 26)
For the third table: (-2, 10) (-1, 0) (-1/2, -5/4) (1, 10)
Step-by-step explanation:
Answer: Multiplying 3x and -x we obtain A= -3x^2
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
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The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
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The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
The answer is y = -1/3x + 2
Because the y intersect is located at (0,2) we know that the b value in the formula y=mx + b is 2 and using rise over run we determine the slope to be -1/3
Answer:
AAS
Step-by-step explanation: