To find the distance between two coordinates on a graph, use the Distance Formula: D = √((x₁ - x₂)² + (y₁ - y₂)²).
Our values for x₁, x₂, y₁, and y₂ will be replaced with the x- and y-values in the given coordinates, (5, 6) and (-4, -7).
Substitute.
√((x₁ - x₂)² + (y₁ - y₂)²)
√((-4 - 5)² + (-7 - 6)²)
Subtract.
√(-9² + (-13)²)
Square.
√(81 + 169)
Add.
√(250)
Simplify.
√(5² · 5 · 2)
√(5²)√(2 · 5)
5√(10) or approx 15.8114
Answer:
B. 15.81 units
210 possibilities, if I am not mistaken.
I did a tree diagram. You first name the seven skaters (skater 1, skater 2, skater 3, ect..) and write them in a row.
After you do that, do 6 arrows from each number because you cannot have skater 1 be first and second place, same with 2 and 3 and so on, so you need only 6 arrows. Make sure when you label the arrows that none of the arrows are labeled as the first skater number you drew in the beginning.
Finally, from each arrow you just drew, draw 5 arrows labeled each skater EXCEPT the skater you drew in the beginning and the second skater.
To save time, you could just do all of the steps above for only one beginning skater. You don't have to do it to all of them, you would run out of paper and it would be super messy.
Count all of the outside arrows. You should have 30. Then, since there are 7 skaters and you did only one, do 30x7, which gives you the total outcomes of 210 possibilities.
Answer:
D. 0.343
Step-by-step explanation:
You can see the first three options as 0.340 so if you substract this number with 0.343 the remainder is positive 3.
This strategy also can be applied to the number 0.3409 but in this occasion the result is different:
That is small number but still is positive that's meaning that between 0.343 and 0.3409 the greatest value is 0.343 .
Answer:
20π ft³
Step-by-step explanation:
I just did it on the USATestprep
Answer:
y = 3, TU = 6
Step-by-step explanation:
SU is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
= 
, substitute values
= 
( cross- multiply )
14.4(4y - 2) = 48y
57.6y - 28.8 = 48y ( subtract 48y from both sides )
9.6y - 28.8 = 0 ( add 28.8 to both sides )
9.6y = 28.8 ( divide both sides by 9.6 )
y = 3
Then
TU = 2y = 2 × 3 = 6
