Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
Answer: Option A: 5
Step-by-step explanation:
If yo have the pairs (a, b) and (c, d)
The distance between these two points is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between points B and C.
We can see that the coordinates of each one are:
point B: (-5, 5)
Point C: (-1, 2)
Then the distance between these points is:
AB = √( (-5 -(-1))^2 + (5 -2)^2) = 5
AB = √( 4^2 + 3^2)
Then the correct option is A
The answer is 3x^2 - 2.
x^2+3y-3+2x^2-3y+1
Add the like terms together, you get 3x^2 - 2
Answer = -4
Step-by-Step Explanation:
Given: x = 2, y = -9
Therefore, substituting the values
= 7x + 2y
= 7(2) + 2(-9)
= 14 + -18
= 14 - 18
= -4
Answer:
For the Chinese students the mean is 6.8 and the median is 7. The mode is 6 and the range is 5.
Step-by-step explanation:
The mean is just the Sum of all the number on the left columns divided by the number students. The sum is 204 and there are 30 students. So divide 204 by 30 and you get 6.8.
To find the median for Chinese students, all you need to do is arrange the numbers from least to greatest and then find the number,or numbers, that are left in the middle. So you cross off numbers on both ends until you get to the middle. Ex: you are given the numbers 12,7, and 5. Arrange them like so, 5, 7, 12. cross off the numbers on the sides and you get 7 as your median. Because 30 is divisible by 2, you end up with two numbers in the middle. When that happens, you add both middle numbers together and then divide by 2.
Finding the mode shouldn't be too hard if you've arranged the numbers from least to greatest. The mode is just the number you see most often in a set of data. In this case, 6 is the most common number of letters a Chinese student has.
Lastly, to find the range, you need to find the lowest value or number and subtract it from the highest value or number. Here the highest value is 9 and the lowest is 4. So 9 - 4 = 5.
