At a math league contest there was 24 girls and ten boys what is the ratio of girls to boys
2 answers:
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Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute and
into the equation above:
Since = -2 and
= -8 , after simplification we have:
The solution of this system is:
- b=0, c =0
The general term is :
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
The points are (168, 168) , (168,56) , (112,0) , (70,112)
Given a scale factor is 14 and the center of dilation (0,0)
We need to find the Points using the scale factor and polygon tool
Now to find the new points the equation is
(old points - dilation center)*scale factor + dilation center
As we know the origin is the dilation center which simplifies to
(old point)*dilation center
(12,12) * 14 = (168,168)
(12,4) * 14 = (168, 56)
(8,0)*14 = (112, 0)
(5,8) *14 = (70, 112)
Hence the new points are (168, 168) , (168,56) , (112,0) , (70,112)
Learn more about center of dilation here
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