1. Start with y=sx+m and input the slope of the line given, because the two lines are parallel they have the same slope. Then input the X and Y coordinates of point X to get 10=-1/2-5+m and finally solve the equation to get m=-7.5 or -15/2 making slope intercept form Y=-1/2-5-15/2
2. Follow the same instructions imputing 1/2 in as the slope because it is perpendicular to the line. so you get 10=1/2-5+m. solve to get m=7.5 or 15/2 making the final equation Y=1/2X+15/2
Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
Answer: 82 sq. units .
Step-by-step explanation:
Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.
Then we plot them on graph ( as provided in attachment)
Length = AB 
units [By distance formula : 
]
units
Width = BC = 
units
Area = length x width
= 
Hence, the area of the rectangle is 82 sq. units .
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120
Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.
Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.
Let the number expected of brown eyed females be x, then x / 120 = 0.75.
Thus, x = 120(0.75) = 90.
Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
Answer:
0.70
0.31
1.18
Step-by-step explanation:
0.70
0.31
1.18
