Step-by-step explanation:
Find the diagram to the question attached.
From the diagram, we are given the following dimension for one of the beds;
Length = 16cm
Width = 8cm
If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;
2cm = 1ft
16cm = x fr
cross multiply
2x = 16
x = 8ft
Hence 16cm = 8ft (based on the scale)
Similarly:
2cm = 1ft
8cm = x fr
cross multiply
2x = 8
x = 4ft
Area of the garden bed (in feet) = Length * Width
Area of the garden bed = 8ft * 4ft
Area of the garden bed = 32ft²
Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.
Answer:
a. −1973700x
b. 0.12
c. 1344
d. −
36.2
Step-by-step explanation:
Slope of 4 means you add 4 to the y and 1 to the x so the answer is (-1,9)
The equation of the line is ![y=\frac{1}{4}x-\frac{29}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B29%7D%7B7%7D)
Explanation:
The equation of the line is perpendicular to
The equation is of the form
where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,
![m_1 \cdot m_2=-1](https://tex.z-dn.net/?f=m_1%20%5Ccdot%20m_2%3D-1)
![-14 \cdot m_2=-1](https://tex.z-dn.net/?f=-14%20%5Ccdot%20m_2%3D-1)
![m_2=\frac{1}{14}](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B1%7D%7B14%7D)
Thus, the slope of the line is ![m=\frac{1}{14}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B14%7D)
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Substituting the slope
and the point (2,-4), we get,
![y+4=\frac{1}{14}(x-2)](https://tex.z-dn.net/?f=y%2B4%3D%5Cfrac%7B1%7D%7B14%7D%28x-2%29)
Simplifying, we get,
![y+4=\frac{1}{14}x-\frac{1}{7}](https://tex.z-dn.net/?f=y%2B4%3D%5Cfrac%7B1%7D%7B14%7Dx-%5Cfrac%7B1%7D%7B7%7D)
![y=\frac{1}{14}x-\frac{1}{7}-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B14%7Dx-%5Cfrac%7B1%7D%7B7%7D-4)
![y=\frac{1}{4}x-\frac{29}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B29%7D%7B7%7D)
Thus, the equation of the line is ![y=\frac{1}{4}x-\frac{29}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B29%7D%7B7%7D)
Answer:
90/4= 12.9
1*3/4= 0.75
Step-by-step explanation: