Answer:
The farmers were happy because the botanist (plant scientist) said their grape and wheat fields would have plentiful yields this coming harvest.
Answer:
Step-by-step explanation:
1) Parallel lines have same slope
y = 3x + 2
m = 3
(2, -4) ; m = 3
equation: y - y1 = m (x - x1)
y - [-4] = 3(x - 2)
y + 4 = 3x - 6
y = 3x - 6 - 4
y = 3x - 10
2) y = 18x + 2
m1 = 18
Slope the line perpendicular to y = 18x + 2, m2 = -1/m1 = -1/18
m2 = -1/18
(1 , -5)
![y-[-5]=\frac{-1/18}(x-1)\\\\y+5=\frac{-1}{18}x + \frac{1}{18}\\\\y=\frac{-1}{18}x+\frac{1}{18}-5\\\\y=\frac{-1}{18}x+\frac{1}{18}-\frac{5*18}{1*18}\\\\y=\frac{-1}{18}x+\frac{1}{18}-\frac{90}{18}\\\\y=\frac{-1}{18}x-\frac{89}{18}\\\\](https://tex.z-dn.net/?f=y-%5B-5%5D%3D%5Cfrac%7B-1%2F18%7D%28x-1%29%5C%5C%5C%5Cy%2B5%3D%5Cfrac%7B-1%7D%7B18%7Dx%20%2B%20%5Cfrac%7B1%7D%7B18%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B18%7Dx%2B%5Cfrac%7B1%7D%7B18%7D-5%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B18%7Dx%2B%5Cfrac%7B1%7D%7B18%7D-%5Cfrac%7B5%2A18%7D%7B1%2A18%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B18%7Dx%2B%5Cfrac%7B1%7D%7B18%7D-%5Cfrac%7B90%7D%7B18%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-1%7D%7B18%7Dx-%5Cfrac%7B89%7D%7B18%7D%5C%5C%5C%5C)
Answer:
Present age of Juna = 10 years
Present age of Jubin = 16 years
Step-by-step explanation:
Ratio of present ages = 5: 8
Let the present ages of:
Juna be 5x years and Jubin be 8x years
(where x is the common multiplier of the given ratios)
Four years after:
Juna's age = (5x + 4) years
Jubin's age = (8x + 4) years
According to the question:
(5x + 4) + (8x + 4) = 34
13x + 8 = 34
13x = 34 - 8
13x = 26
x = 26/13
x = 2
5x = 5*2 = 10 years
8x = 8*2 = 16 years
Hence,
Present age of Juna = 10 years
Present age of Jubin = 16 years
Answer:
The sentence that describes the reflected point (x,-y) over the y-axis
Step-by-step explanation:
Since not sure if specific options are available lets answer this question in a general notation.
Let us consider the Co-ordinate system in two dimensions (i.e. and ); where the horizontal line represents the values and the vertical line representes the values.Now we are told that we have a point with a positive x-coordinate and a negative y-coordinate, thus:
This means our point is located at the 4th Quadrant (where values are positive and values are negative).
Reflecting it over the y-axis means that our point is now located on the 3rd Quadrant (where both and values are negative).
Therefore the new reflected point will now be:
''a point with a negative x-coordinate and a negative y-coordinate''
<span>A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means. </span>
