Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means
=
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L
= 14 and W
= 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L
= 10.5 and W
= 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵
=
= 
∵
=
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
We have the parabola with equation y = 4x².
We have to determine the shape and direction of it.
If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.
As the value of a is positive, the parabola will open upward.
The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.
This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.
Answer:
Because a is positive the parabola opens upward.
Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.
$21 I believe (it's 1 am where I am so I'm not 100% sure but I think it's correct)
Answer:
3/x=y
Step-by-step explanation:
if not am sorry
Answer:
Step-by-step explanation:
b would be 0
your slope is rise/run. up one and over three. up one and over three. so 1/3
write it as y=1/3x+0, or y=1/3x