Answer:
The median is the average of all the numbers so you would first add all the numbers together which is 16+12+13+14+19+13+17+13=117
then you divide 117/8=14.6
Then your median is the middle number of all your numbers in numerical order
12, 13, 13, 13, 14, 16, 17, 19
which is 13 and 14, and between those two numbers is 13.5
Step-by-step explanation:
So the snail nets 8 cm - 1.5 cm = 6,5 cm per day.
Then y = 6.5x where x = number of days.
When y = 275, x = 42.3 days or rounding up, 43 days.
The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)
In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.
x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.
You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.
<span>D. 20 + 2âš10 units
To solve this, you simply need to calculate the length of each side of the triangle with the vertexes of A(3,4), B(-5,-2), and C(5,-2). The length of each side is simply calculated using the pythagoras theorem. Note that it doesn't matter what order you do the subtraction. The absolute value will be the same and if it happens to be negative, not a problem since it will become positive once you square the values.
So the length of side AB is
sqrt((3-(-5))^2 + (4-(-2))^2) = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10.
The length of side BC is
sqrt((-5 - 5)^2 + (-2 - (-2))^2) = sqrt(-10^2 + 0^2) = sqrt(100+0) = sqrt(100) = 10.
And finally, the length of side AC is
sqrt((3-5)^2 + (4-(-2))^2) = sqrt(-2^2 + 6^2) = sqrt(4+36) = sqrt(40)
= 2 * sqrt(10)
Finally, add all the lengths together.
10 + 10 + 2âš10 = 20 + 2âš10</span>
She forgot the 0 in the middle, which is why she got 192. The correct answer is 1812