Answer:
Step-by-step explanation:
Vertex (1,-1)
Axis of symmetry: x = 1
Domain is the set of real numbers.
Range in interval notation: [-1,+∞)
When x< 1, y increases as x increases.
When x>1, y decreases as x increases.
Parallel lines has equal slopes.
Equation of the line 2x + y + 1 = 0 in slope intercept form is y = -2x - 1 with slope of -2. Therefore, the slope is -2.
Answer:
27.73 cm squared
Step-by-step explanation:
In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:
A = lw
A = 7 * 8 = 56 cm squared
The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:
A = πr²
A = π * 3² = 9π ≈ 28.27 cm squared
Now subtract 28.27 from 56:
56 - 28.27 = 27.73
The answer is thus 27.73 cm squared.
Answer:
Oh snap TwT I wish U luck :3
Step-by-step explanation:
In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.
The equation for combination is,
nCr = n!/((n - r)!(r!))
nCr is read as "combination of n taken r".
Substituting the known values to the equation,
15C6 = 15! / ((15 - 6)!(6!))
= 5005
Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party.
