Answer:
Step-by-step explanation:
we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)
Area of this rectangle = 10 * 2 =20 sq meters
Area of the other rectangle = 8 *2 = 16 sq meters
Total area = 36 sq meters
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thus the given equation is a linear equation in two variables ...
thus ploting a table we get as ...
y = -5x + 3
there fore
1) at y=0 , x = 3/5 .... 0 = -5x +3
= -5x = -3 ..thus X = 3/5
2) at x=0 , y= 3 ...
y = -5 (0) + 3 = 3
3) at X =1 , y = -2
4) at y=1 , x = 2/5
Answer:
95% since 19÷20 is 0.95 which multiplied by hundred is 95
Yes this is the correct answer
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer: