Translations, reflections, and rotations preserve congruency. Dilations do not?
Answer:
L = 97, w = 27
Step-by-step explanation:
The perimeter formula is P = 2L + 2w. We have too many unknowns simply to plug in, so we have to find a way to identify one in terms of the other. The statement is that the length is 16 feet more than 3 times the width, so the length is in terms of the width and can be identified as
L = 3w + 16
and the width, then, is just w. Now we can fill in those 2 values, both in terms of w, and set it to equal the perimeter value we were given of 248:
2(3w + 16) + 2w = 248 and
6w + 32 + 2w = 248 and
8w + 32 = 248 and
8w = 216 so
w = 27
That means that the width is 27. Use that value of w now to find the length where
L = 3w + 16.
L = 3(27) + 16 and
L = 97
The rule of reflection in the image shown is: (x, -y).
<h3>What is Reflection?</h3>
Reflection is a transformation which creates a new image by flipping over a line of reflection. The new image is congruent to the original image after reflection. The rule of reflection over an x-axis is given as, (x, -y).
In the image given we can see that rotating triangle LMN over the x-axis gave us:
M(-5, 4) → M'(-5, -4)
L(-4, 2) → L'(-4, -2)
N(-2, 3) → N'(-2, -3)
Therefore, the rule of reflection is: (x, -y).
Learn more about reflection on:
brainly.com/question/26642069
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Answer:
The equation would be x^2 + y^2 = 9
Step-by-step explanation:
In order to find this, start with the base form of the circle.
(x - h)^2 + (y - k)^2 = r^2
Now we input the center as (h, k).
(x - 0)^2 + (y - 0)^2 = r^2
x^2 + y^2 = r^2
Now we can input the radius of 3 in for r
x^2 + y^2 = 3^2
x^2 + y^2 = 9
Answer:
(x + 2) (8x + 3)
Step-by-step explanation:
+ 
= (x + 2) (8x + 3)
L = 3/a = 3/8
R = 16/a = 16/8 = 2
