Answer:
y = -1/2x - 8
Step-by-step explanation:
y = mx + b
y = -1/2x - 8
-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000
= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)
= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)
= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)
= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)
Let <em>S</em> = 1 + 2 + 3 + … + 500. Then this sum is equal to
= -(2<em>S</em> - 500) + 2<em>S</em>
= -2<em>S</em> + 500 + 2<em>S</em>
= 500
and multiplying by 4 gives 2000.
Answer:
No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in.
For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.
2
in.
+
3
in.
=
5
in.
5
in.
<
6
in.
For a triangle with sides 3 in., 4 in. and 5 in. which can form a triangle:
3 + 4 = 7 which is greater than 5
3 + 5 = 8 which is greater than 4
4 + 5 = 9 which is greater than 3
Step-by-step explanation:
So the equation is 500x+30x=680
The maximum number of hours would be 6hours because 500+ 30*6=680 so it would be u can rent the jump house for 6 hours
Answer:
6
Step-by-step explanation: