Simplify 12x^7y^3 divided by 6x^3y
1 answer:
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Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Step-by-step explanation:
We need to match the reason with the correct step in the equation.
Equation:
Given:
Applying Distributive property a(b+c)=ab+ac
Now, Applying addition property of equality:
Adding +4x on both sides
Now, Applying Division property of Equality:
Divide both sides by 6:
So, Answer will be:
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Keywords: Solving Equations
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Answer:
Step-by-step explanation:
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The dimensions of the image are twice the dimensions of the preimage,
which indicates that the transformation is a dilation.
- The transformation <em>T</em> is; <u>a dilation transformation with a scale factor of 2, D₂</u>
Reasons:
The transformation applied to ΔABC = T
The image of ΔABC following the transformation, T = ΔA'B'C'
The perimeter of ΔA'B'C' = Twice the perimeter of ΔABC
Therefore, we have;
A'B' + B'C' + A'C' = 2 × (AB + BC + AC)
Which gives
A'B' + B'C' + A'C' = 2·AB + 2·BC + 2·AC
By similar triangles, we have the ratio of corresponding sides as follows;
Which gives;
A'B' = 2·AB
Therefore;
- Triangle ΔA'B'C' is twice the dimension of triangle ΔABC, and <em>T</em> is <u>a dilation transformation with a scale factor of 2, D₂</u>
Learn more about dilation transformation here: