Answer:
B) 25.1 units
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:
BC = 5 -(-2) = 7
The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.
AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)
AB = √100 = 10
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AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)
AC = √65 ≈ 8.06
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So, the perimeter is ...
P = AB +BC +AC
P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B
Answer:
x^2 - x^3 - 3x^2y - 3xy^2
Step-by-step explanation:
x^3 +y^3 - (x + y)^3
Expand the expression
x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)
Remove the parentheses
x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3
Remove the opposites
Answer:
x^2 - x^3 - 3x^2y - 3xy^2
Hope this Helps!
Answer:
Step-by-step explanation:
We have been given two expressions 
and
Now we need to find out least common multiple of these two expressions.
First we need to find out what is common factor of both expressions. and
Least common multiple means find the expression which can be divided by both expressions.
15 and 6 both goes into 30
so 30 is part of LCM (least common multiple )
Now pickup the highest exponent of each variable.
So we get 
Hence required least common multiple is
The x^2 over the x is like subtracting x from x^2, so the new equation would be 9-x/-3. You divide 9 by -3 to get the final answer of -3-x, or -x-3, which is E.
