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:
B)40 because (4)*50/5 is (4)*10
Answer:
x∉R
Step-by-step explanation:
1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:
x=(-(-18)±√(-18)²-4×9×14)/2×9
2) Evaluate the power, calculate the product and multiply the numbers:
x=(18±√324-504)/18
3) Calculate the difference:
x=(18±√-180)/18
4) The square root of a negative number does not exist in the set of Real Numbers:
x∉R
We'd divide.
This is because:
Gallons are much more than cups. If we cant to convert cups to gallons, we divide to get a smaller unit.
Example: There are 32 cups on the table. How many gallons are there?
32/amount of cups per gallon
32/16 = 2
2 gallons,
