3x^2 +6y^2 = 18
Divide each term by 18 to make the right side equal 1:
3x^2/18 + 6y^2/18 = 1
Simplify each term:
x^2/6 + y^2/3 = 1
The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1
Match the values in the ellipse to the standard form:
a = √6
b=√3
k = 0
h = 0
The center = (h,k) = (0,0)
Vertex is h +a, k = (√6,0) and (-√6,0)
Focus is h+c,k = (√3,0) and (-√3,0)
To the left of the vertical bar are the tens places. As we want to find the scores greater than 90, we start at the row in the stem and leaf plot with a 9 to the left. To the right are 6 values - 1, 2, 3, 4, 6, and 7. So there are six scores here higher than 90: 91, 92, 93, 94, 96, and 97. Now we move lower to 10 in the tens place. There is one score there - 100. (That smart kid.)
Total up the six scores in the 9 row and the 1 in the 10 row to get 7 scores higher than 90 in this stem and leaf plot.
Thus, there are 7 scores - choice B - in the plot higher than 90.
Hi there! The $75 is a one time fixed price and $52.50 is charge per hour. To find amount of total charge, you multiply the charge per hour by number of hours worked, in this case, 4.5. 52.5 * 4.5 is 236.25. That’s $236.25 for 4.5 hours of work. Now, add the $75 to get the total price, when you do, you get 311.25. There. The total charge for the plumber is $311.25.
Answer: A and D
Step-by-step explanation: You multiply the both the numerator and the denominator and then you simplify
Sure what is the question?