This is about understanding rigid transformations.
<u><em>Option 4 is not a rigid transformation.</em></u>
- In mathematics, transformation could be;
Rigid Transformation; This includes reflection, rotation, translation.
Non - Rigid Transformation; This includes dilation and shear.
- Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.
Whereas, it is termed non - rigid transformation if the shape or size changes.
Let us look at the triangles in the option;
- Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.
Read more at; brainly.com/question/16979384
The slope is -4/7
Take out two of the points.
(-7,1) (0,-3)
Now y2-y1/x2-x1
Which is -3-1/0-(-7)
That equals out to be -4/7
For the answer to the question above,
1b. Is y = 0.20927x^2 + 3.587x + -0.0029068
1c. (0,0) and (17.14,0)
1.d No
2a. (10,3) root (I'm not sure on this number but everything else is correct)
2b. (-3,-49) vertex
2c. (0,-40) y-intercept
2d. (4,0) root
I hope this helps
Answer:
6 bags
Step-by-step explanation:
8x3=24
24/4=6
<h3>
Answers: x = 30 and y = 150</h3>
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Explanation:
For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.
One pair of such angles is A and C
A+C = 180
x+y = 180 is one equation to form
The other pair of supplementary angles is B and D
B+D = 180
y-45+2x+15 = 180
2x+y-30 = 180
2x+y = 180+30
2x+y = 210 is the other equation to form
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So the system of equations we have is
Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.
- The x terms subtract to x-2x = -x
- The y terms subtract to y-y = 0y = 0, so the y terms go away
- The right hand sides subtract to 180-210 = -30
We end up with -x = -30 which solves to x = 30
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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y
Let's say we picked on the first equation
x+y = 180
30+y = 180
y = 180-30
y = 150
Or we could pick on the second equation
2x+y = 210
2(30) + y = 210
60+y = 210
y = 210-60
y = 150
Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.
