Let ℓ equal length, w equal width, and P equal perimeter.
Use the formula 2ℓ + 2w = P.
ℓ = 2w - 5
2ℓ + 2w = 62
Substitute what you do know for what you don't, and solve.
2(2w-5) + 2w = 62
4w - 10 + 2w = 62
6w - 10 = 62
6w = 72
w = (72/6)
w = 12
The answer is 12 feet.
The width of the deck is 12.0 feet.
To solve this problem, we can set up an equation using information given. Let's say the width of the deck is x feet. According to the problem, the length of the deck is 5 less than twice the width, so the length would be 2x - 5.
The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Therefore, we can write the equation as:
62 = 2(x + (2x - 5))
Simplify and solve for x:
62 = 6x - 10
72 = 6x
x = 12
Rounded to the nearest tenth, the width of the deck is 12.0 feet.
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Writing ordered pairs involves identifying the x and y coordinates of each point and representing them as (x, y), providing precise positioning information on the coordinate plane.
To represent points as ordered pairs, you need to identify the coordinates of each point on a coordinate plane. Each ordered pair consists of two values: the x-coordinate (horizontal position) and the y-coordinate (vertical position). Here's how you would write ordered pairs for various points:
Identify the Points: First, you need to know the specific points for which you want to find the ordered pairs. Let's assume you have three points: A, B, and C.
Determine the Coordinates: To write ordered pairs, you need to determine the x and y coordinates for each point. This often involves measuring or using a scale on the coordinate plane. For example:
Point A may have an x-coordinate of 2 and a y-coordinate of 3.
Point B may have an x-coordinate of -1 and a y-coordinate of 4.
Point C may have an x-coordinate of 0 and a y-coordinate of -2.
Write the Ordered Pairs: Once you have the coordinates for each point, you can write the ordered pairs. An ordered pair is typically written as (x, y), where x represents the horizontal position (x-coordinate), and y represents the vertical position (y-coordinate). Using the coordinates from the previous step:
Point A can be represented as (2, 3).
Point B can be represented as (-1, 4).
Point C can be represented as (0, -2).
These ordered pairs allow you to precisely locate and describe the positions of points A, B, and C on the coordinate plane.
For more such information on: ordered pairs
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The question probable may be:
how would you write the ordered pairs for each point
Coordinate graphing sounds very dramatic but it is actually just a visual method for showing relationships between numbers. The relationships are shown on a coordinate grid. A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin.
The numbers on a coordinate grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0). Note that there is no space after the comma.
The location of (2,5) is shown on the coordinate grid below. The x-coordinate is 2. The y-coordinate is 5. To locate (2,5), move 2 units to the right on the x-axis and 5 units up on the y-axis.
The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) refer to two different points!
The function table below shows the x- and y-coordinates for five ordered pairs. You can describe the relationship between the x- and y-coordinates for each of these ordered pairs with this rule: the x-coordinate plus two equals the y-coordinate. You can also describe this relationship with the algebraic equation x + 2 = y
dilation by a scale factor of 2, then a reflection over the x-axis
dilation by a scale factor of 1/2, then a rotation of 180° about the origin
dilation by a scale factor of 1/2. then a reflection over the x-axis
Answer:
C : dilation by a scale factor of 1/2, then a rotation of 180° about the origin
Step-by-step explanation: