Answer:
i. 10 units (Carol's house is 10 units on the right from Ann's house)
ii. -10 units (Carol's house is 10 units on the left to Ann's house)
Step-by-step explanation:
A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).
In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.
Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.
Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.
So that,
The possible locations of Carol's house depends on its position with respect to Ann's house.
i. Carol's house = 8 + 2
= 10 units
This implies that Carol's house is 10 units on the right from Ann's house.
ii. Carol's house = - 8 - 2
= -10 units
This implies that Carol's house is 10 units on the left to Ann's house.
ANSWER
The pendulum's maximum displacement is 2cm.
EXPLANATION
The maximum value of the graph is the pendulum's maximum displacement.
The graph is a periodic function
The amplitude of the graph is 2.
The range of the graph is -2≤y≤2
The maximum value is 2.
The pendulum's maximum displacement is 2cm
The correct choice is B.
Answer:
x = 25
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse x is equal to the sum of the squares on the other two sides, that is
x² = 20² + 15² = 400 + 225 = 625 ( take the square root of both sides )
x = 
= 25
A linear function has no restriction on range, unless there is one on the domain.
The range is <em>all real numbers</em>.
The value of the expression 3ac - b² - c² is -61.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be solved as below:-
3ac - b² - c² = ( 3 x 4 x -3 ) - ( 4 )² - ( -3 )²
= ( -36 - 16 - 9 )
= ( -61 )
Therefore, the value of the expression 3ac - b² - c² is -61.
To know more about an expression follow
brainly.com/question/723406
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