Answer:
s = 71 mph, and s+9 = f = 80 mph
Step-by-step explanation:
The distances the two busses travel add up to 604 mi.
Letting f be the faster speed and s the slower. Then f = s + 9 (mph).
Then (s + 9)(mph)(4 hr) + (s)(mph)(4 hr) = 604 mi. Solve this for s:
4s + 36 + 4s = 604 mi, or 8s = 568. Finally, s = 71 mph, and s+9 = f = 80 mph.
Point-slope for a line is:
(y-y1)=m(x-x1) where (x1,y1)=(1,1) and m=6 so
y-1=6(x-1)
Answer:
Part 1) Vertical line : 
Part 2) Horizontal line : 
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is

Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is

Answer: 0.5
Step-by-step explanation:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/10 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
10 = 2 × 5;
gcf (7; 2 × 5) = 1;