Answer: the ratio is 30:47
Step-by-step explanation: this is the most you can simplify this number so it stays like this
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Answer:
y = x + 8
Step-by-step explanation:
(x² + 6x - 9)/(x - 2)
[x² - 2x + 8x - 16 + 7]/(x - 2)
[x(x - 2) + 8(x - 2) + 7]/(x - 2)
x + 8 + 7/(x - 2)
Oblique asymptote: y = x + 8
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For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
Find the area of the triangles and smal ler square and add them together ; and find the area of the complete square and set them equal to each other (these are known truths)
triangle: l×w /2
square: s^2
There are 4 triangles so
4 (1/2ab)+c^2= (a+b)(a+b)
simplify
2ab+c^2= a^2+2ab+b^2
-2ab both sides
c^2=a^2+b^2
tada!! it's proven :)