Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Answer:
1 4/7
Step-by-step explanation:
11/7
7/7=1
11-7=4
1 4/7
Answer:
$37.00
Step-by-step explanation:
Tickets:
4 friends, each ticket costs $8
4*8=32
$32
Sodas:
4 friends, each soda costs $3.75
4*3.75=15
$15
Total:
tickets + sodas
32+15=47
$47
Coupons:
2 friends each had a coupon for $5 off
2*5=10
$10 discount
Grand Total:
total-discount
47-10=37
$37.00
Answer:
2.8
Step-by-step explanation:
1) find the mean of the data set. = 15
2) find the abs value of the diff between each data value and the mean: |data value – mean|.
|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2
3) find the sum of the abs values of the diff = 14
4) divide the sum of the abs value by the number of data values = 14/5 = 2.8
