Answer:
Option (B)
Step-by-step explanation:
From the given table,
With the increase in the values of x (from x = -2 to x = 2), values of the function is decreasing from x =2 to x = 4.
Interval (0, 1) lies in the domain of the function in which the y-values of the function are,
At x = 0,
f(0) = -6
At x = 1,
f(1) = 0
Therefore, values of the given function are increasing in the interval of (0, 1).
Option (B) will be the correct option.
Cot theta is 1 over tan theta.The only way for 1/tan theta to be undefined is for tan theta = 0. - answers
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Answer: The product of (-a + 3)(a + 4) is: -a^2-a+12
Step-by-step explanation:
(-a+3)(a+4) = -a*a-a*4+3*a+3*4
=-a^{2} -4a+3a+12
now just simply combine..
=-a^2-a+12
the answer is -a^2-a+12