What is an equation in math
2 answers:
An equation is a mathematical sentence that contains an equal sign.
To understand this further, I'll show an example.
<em>Suppose that we had a balance and a bunch of blocks for reference. If we put the bag on one side of the balance and put a number of blocks on the other side of the balance, they even out. If the number of blocks on the right side of the balance is 8, this means that the number of blocks in the bag is 8. We can write this as X = 8.</em>
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<em>X = 8 is an example of an equation since it's a mathematical sentence that has an equal sign in it.</em>
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Answer:
3 cm
Step-by-step explanation:
When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.
A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for h by dividing by 9.
The new height is 3 cm.