Write the equation in graphing form and the graph the shape. NO LINKS/ASSESSMENT!!
1 answer:
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
16 + x² + y² - 8x - 6y = 0 ( subtract 16 from both sides )
x² + y² - 8x - 6y = - 16 ( collect x and y terms together )
x² - 8x + y² - 6y = - 16
Use the method of completing the square
add ( half the coefficient of the x/y terms)² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 3)y + 9 = - 16 + 16 + 9
(x - 4)² + (y - 3)² = 9 ← in standard form
with centre (4, 3 ) and r = = 3
This is a circle with centre (4, 3 ) and radius 3
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Answer:
Area = square units
Step-by-step explanation:
<u>Key skills needed: Area of a parallelogram</u>
1) This shape is a parallelogram, and the way to find the area of a parallelogram is:
A = area
b = base (the side at the bottom
h = the height ( the length that runs from one side to another and makes a right angle)
2) The base (b) would be 3x. The height (h) would also be 3x
3) This means A =
3 times 3 is 9 --> and x times x is
Therefore the area is -->
<em>Hope you understood and have a nice day!! :D</em>