Answer:
Step-by-step explanation:
4) (-2,3) ; (-1,-2)
![Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-2-3%7D%7B-1-%5B-2%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B-1%2B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B1%7D%5C%5C%5C%5C%3D-5)
5) line is parallel to x-axis. So, slope= 0
6) (1,1) ; (-2, -1)

9514 1404 393
Answer:
34.5 square meters
Step-by-step explanation:
We assume you want to find the area of the shaded region. (The actual question is not visible here.)
The area of the triangle (including the rectangle) is given by the formula ...
A = 1/2bh
The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...
A = (1/2)(11 m)(9 m) = 49.5 m^2
The rectangle area is the product of its length and width:
A = LW
The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...
A = (5 m)(3 m) = 15 m^2
The shaded area is the difference between the triangle area and the rectangle area:
shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2
The shaded region has an area of 34.5 square meters.
Answer:
centre (5, 6 ) , r = 
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 the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = 


Step-by-step explanation:

- <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses


- move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign

- move the <em><u>constant </u></em>to the right hand side and change its sign

- collect<em><u> like</u></em><em><u> terms</u></em>
<em><u>
</u></em>

- divide both sides of the equation by <em>-</em><em>5</em>
<em>
</em>
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<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>