Try this solution (analytic method):
1. if new line is parallel to the given one (y=3x+2) it means the new line has a form y=3x+b, where b - number.
2. In order to calculate 'b', it need to substitute the coordinates of point (6;1) into the equation of the new line:
1=3*6+b, ⇒ b=-17.
3. If to make up the equation of the new line:
y=3x-17
Answer: A
1 hour=3600 seconds
1 mile=5280 feet
87 miles/hr (1 hr/3600 sec)(5280 ft/mile)=127.6 feet/sec
Distance= Rate*time
d=127.6(12)=1531.2 feet (after 12 seconds)
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:

Answer:
Step-by-step explanation: