Answer:
Collen's average speed was 11.875 miles/h
Step-by-step explanation:
The average speed is given by the total distance travelled divided by the time at which the route was completed. So in this case the total distance is 9.5 miles and the time to complete it was 0.8 hour. We then have:
average speed = total distance/ time
average speed = 9.5/0.8 = 11.875 miles/h
Collen's average speed was 11.875 miles/h
Answer:
4.50
Step-by-step explanation:
i hope i got it correct i'm in middle school
Since it's a right angle the sum of the two angles equals 90°
(8y-2)°+60°=90°
8y-2=90-60
8y-2=30
8y=30+2
8y=32
y=32/8
y=4
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
Answer:
deductive reasoning
Step-by-step explanation:
