Complete question :
A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.
(a) The landscaper plans to put a fence around the entire yard. How many meters of fencing does she need? Show your work.
(b) The landscaper plans to create a rectangular garden that is the size of the actual yard. What is the area of the garden?
Answer:
28cm ; 48cm²
Step-by-step explanation:
From the diagram :
Length = 8cm
Width = 6cm
Meters of fencing required :
Perimeter of rectangle :
P = 2(length + Width)
P = 2 (8cm + 6cm)
P= 2(14cm)
P = 28 cm
2.)
Area of rectangle :
Length * width
8cm * 6cm
= 48cm²
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
<h2>
Answer:</h2>
y = 2
<h2>
Step-by-step explanation:</h2>
To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
<h3>Finding the Slope of the line:</h3>
<u>Substitute the coordinates of the given points:</u>
<u>Simplify the equation to determine the slope:</u>
∴ 0 divided by ANY number is ALWAYS 0.
<h3>Finding the equation of the line:</h3>
Point slope form formula: y - y₁ = m(x - x₁)
- x₁ and y₁ are the coordinates of any given point.
- m is the slope
<u>Substitute the values in the point slope form:</u>
<u>Simplify the equation to determine the equation of the line:</u>
∴ Any number multiplied by 0 is 0.
Thus, the equation of the line is y = 2.
Answer:
F= 40
Step-by-step explanation:
F=ka
25 = k 5
k = 5
F=5a
F=5*8
F= 40
