Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and 
∴
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
x = 113
Step-by-step explanation:
Vertical angles are congruent. To the left of 113 would be 67 but x is not.
Answer:
50000y^9.
Step-by-step explanation:
(2y)^4 * (5y)^5
= 2^4 y^4 * 5^5 y^5
= 16y^4 * 3125y^5
= 50000y^9.
Answer:
A, E
Step-by-step explanation:
The function is the rule that maps to each x exactly one y (these y can be the same). Thus the given graph represents the function (option C is false).
The domain of the function are all possible values for x. Thus, from the given graph the domain of the function are all real numbers (option E is true, option D is false).
The range of the function are all possible values for y. Thus, from the given graph the range of the function is the set {3} (option A is true, option B is false).