Answer:
The origin is not included in the shaded region, and the shaded area is above the line.
Step-by-step explanation:
We need to find the shaded region for the given inequality
y > 1/2x +2
To determine whether the origin is included in the shaded region, we use origin (0,0)
Plug in x=0 and y=0 in the given inequality
0> 1/2(0) +2
0 > 2 that is false
So (0,0) origin is not included in the shaded region
In the inequality we have greater than symbol
for > symbol we shade above the line
The origin is not included in the shaded region, and the shaded area is above the line.
The speed of the stream is one mile per hour.
Find David's speed in still water.
David's speed in still water is ? miles per hour?
The scale factor of the dilation is calculated by dividing the length of the line after dilation by the length of the initial line. The length of a line is calculated using the distance formula. The center of dilation is the point from which the shape scales, but we can't determine its location without more information.
To find the scale factor of a dilation in a two-dimensional plane, we divide the length of the line after dilation by the length of the initial line. The length of a line can be calculated using the distance formula which is √[(x₂ - x₁)² + (y₂ - y₁)²].
For AB, the distance will be √[(5 - 9)² + (-4 - 4)²] = √[(-4)² + (-8)²] which equals √80. For A'B', the distance will be √(3 - 6)² + (-3 - 3)² = √[(-3)² + (-6)²] which equals √45. The scale factor (k) of the dilation is the ratio of these distances, so k = √45 / √80 which simplifies to √(9/16) or 3/4.
Unfortunately, without more information, such as a fixed point in the original shape, we can't determine the exact location of the center of dilation. But, conceptually, it's the point that the shape is scaling towards or away from during the dilation.
#SPJ11
$24,480
$27,037
$29,200
Answer:
The answer on edge is C) 27,037
Step-by-step explanation:
the common difference between successive terms
To find the common difference we subtract the first term from second term
0.36, 0.26, 0.16, 0.06, –0.04, –0.14,
0.26 - 0.36 = -0.10
0.16 - 0.26 = -0.10
0.06 - 0.16 = -0.10
-0.04 - 0.06 = -0.10
-0.14 - (-0.04) = -0.10
We can see that the common difference is =0.10
the common difference between successive terms = -0.10
The correct answer is:
-0.10.
Explanation:
The common difference between successive terms in a sequence is the number you add to each term to find the next one.
To find this number, you can subtract the first term from the second, the second from the third, and so on:
0.26-0.36 = -0.10
0.16-0.26 = -0.10
0.06-0.16 = -0.10
-0.04-0.06 = -0.10
-0.14--0.04 = -0.10
The common difference is -0.10.