centimeter units. Which of the following points could
also be a vertex of the square?
F. (−4, 0)
G. ( 0, 1)
H. ( 1,−1)
J. ( 4, 1)
K. ( 5, 0)
Answer: The required point that could also be a vertex of the square is K(5, 0).
Step-by-step explanation: Given that the sides of a square are 3 cm long and one vertex of the square is at (2,0) on a square coordinate grid marked in centimeter units.
We are to select the co-ordinates of the point that could also be a vertex of the square.
To be a vertex of the given square, the distance between the point and the vertex at (2, 0) must be 3 cm.
Now, we will be suing the distance formula to calculate the lengths of the segment from the point to the vertex (2, 0).
If the point is F(-4, 0), then the length of the line segment will be
If the point is G(0, 1), then the length of the line segment will be
If the point is H(1, -1), then the length of the line segment will be
If the point is J(4, 1), then the length of the line segment will be
If the point is K(5, 0), then the length of the line segment will be
Thus, the required point that could also be a vertex of the square is K(5, 0).
Answer:
The perimeter of the sandbox is 14 feet
Step-by-step explanation:
To find the perimeter of the sandbox, we will find the distance between the points using the distance formula and then add them together
p(12, 14), Q(12, 17), R (16, 17) and S (16, 14)
Distance formula;
D = √ ( - )² + (-)²
p(12, 14) Q(12, 17)
|PQ| = √ ( - )² + (-)²
= √(12-12)² + (17-14)²
= √0² + (-3)²
=√9
=3
|PQ| = 3
Q(12, 17) R (16, 17)
|QR| = √ ( - )² + ( - )²
=√( 17 - 17)² + (16 - 12)²
=√0² + 4²
=√16
= 4
|QR| = 4
R (16, 17) S (16, 14)
|RS| = √ ( - )² + ( - )²
=√(16-16)² + (14 -17)²
=√0² + (-3)²
=√9
=3
|RS| = 3
S (16, 14) p(12, 14)
|SP| = √ ( - )² + ( - )²
=√ (14 - 14)² + (12 - 16)²
=√0² + (-4)²
=√16
=4
|SP| = 4
Perimeter = |PQ| + |QR| + |RS| + |SP|
= 3 + 4 + 3 + 4
=14
Since the coordinates are measured in feet, perimeter= 14 feet
Therefore the perimeter of the sandbox is 14 feet.
The cost for each book will be if the person buy 7 books.
Further explanation:
The arithmetic sequence can be expressed as follows,
......
Here, represents the first term, represents the second term, and so on.
The common difference “d” can be obtained as follows,
The nth term can be obtained as follows,
Explanation:
The cost of a book is
The cost of a book is if the person buys 2 books.
The cost of a book is if the person buys 3 books.
The cost of a book is if the person buys 4 books.
The sequence is
The first term is the second term is
The common difference “d” can be obtained as follows,
The cost for each book if the person buys 7 books can be obtained as follows,
The cost for each book will be if the person buy 7 books.
Learn more:
1. Learn more about inverse of the functionbrainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Arithmetic Sequence
Keywords: Store, books, price, $17.55, 2 books, 3 books each cost $16.40, pattern continues, cost, 7 books.