To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
Answer:
120 miles in 4.8 hours
75 miles in 5 hours
Step-by-step explanation:
Ship:
The number f(x) of miles a ship is from its destination x hours after starting a voyage is given by f(x) = 120 - 25x. This means, initially the ship is 120 miles away from its destination.
If the ship traveled 120 miles, then f(x)=0 (the ship will be 0 miles away from its destination) and
0 = 120 - 25x
25x = 120
x = 4.8 hours.
Submarine:
At x = 0 hours the submarine was 75 miles away
At x = 5 hours, the submarine was 0 miles away.
So, in 5 hours the submarine traveled 75 miles
Answer:
117, 55, 54, 77, 130, 7h + 5x, 14
Step-by-step explanation:
For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2
