F(x)=3x²-6x+13
a=3, b=-6, c=13
the x coordinate of the vertex is x=-b/(2a), so x=-(-6)/(2*3)=1
when x=1, y=3(1)²-6(1)+13=10
the vertex is at (1,10)
answers are in bold.
substitute the place of the X
90/2=45
45/3=15
15/3=5
90=2*3*3*5=2¹*3²*5¹
Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:

So first off, remember the formula for the area of a rectangle. it's length time width right? or, you could think that A= 2 things multiplied together. how can we simplify x^2 - x -72 to equal two things multiplied together? well, we can factor it! We know that one of the factors is x+8 right? so what's the other factor? it would be x-9. so, we know width is x-9. I'm not sure if you need an actual value for width. if so, I could probably go further.