Answer:
(i) k =1
(ii) y-intercept is 7
Step-by-step explanation:
<u>Given line:</u>
<u>Divide all terms by k to get slope-intercept form of the line</u>
<u>Since the gradient (slope) of the line is 2:</u>
<u>The equation is now:</u>
<u>y - intercept is found when x = 0</u>
- x = 0 ⇒
- y = 2*0 + 7
- y = 7
The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.
- <em>The perimeter is </em>
<em>units</em> - <em>The area of the sanctuary is 27 square units</em>
We have:

<u>Perimeter</u>
See attachment for the layout of the sanctuary



From the attachment, the sides are
<em>AB, BF, FC, CD, DE and EA</em>
Start by calculating the length of each side using the following distance formula:

So, we have:






So, the perimeter (P) is:



<em>Hence, the perimeter is </em>
<em>units</em>
<u />
<u>Area</u>
To calculate the area, we need to divide the sanctuary into three.
- <em>Triangle ABF</em>
- <em>Triangle EFA</em>
- <em>Trapezium CDEF</em>
The area of ABF is:

Where:




The area of EFA is:

Where:


So:


The area of CDEF is:

Where



So, we have:



So, the area of the sanctuary is:




<em>Hence, the area of the sanctuary is 27 square units</em>
Read more about areas and perimeters at:
brainly.com/question/11957651