Answer:
a) Ans: 8.5 miles per hour
b) Ans: 46.75 miles
Step-by-step explanation:
a) Speed = Distance/Time
8.5/1h = 8.5 miles per hour
b) Distance = Speed x Time
8.5 miles per hour x 5.5h = 46.75 miles
Answer:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
Determining the slope between (-1, -2) and (3, 4)




Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b

switch sides


subtract 9/2 from both sides


now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation



Therefore, the slope-intercept form of the line equation is:
Answer:
4r to the power of 2 - 3r +1
Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)
Work Shown:
The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.
Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24
Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105
We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)
24/3 = 8
105/3 = 35
So that's how I got 8/35
If you want to convert to decimal form, then 8/35 = 0.22857 approximately.
Answer:
The measure of angle s is 75 degrees
Step-by-step explanation:
7x+40+8x+25+5x+15=180
20x+80=180
20x=100
x=5
7*5+40=75