Point S makes the two connected angles the same. They both have right angles.
And one side of each is congruent.
This means you know 2 angles are the same and one side is the same.
You would use ASA (Angle, Side, Angle)
False, you only flip the inequality if you divide out a negative.
Part (a)
The length is supposed to be 22.2 cm, but it could be 0.3 cm less
So 22.2 - 0.3 = 21.9 cm is the smallest value for the length. This is the lower bound of the length.
The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.
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Use this for the width as well
The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm
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<h3>Answers:</h3>
- smallest length = 21.9 cm
- largest length = 22.5 cm
- smallest width = 11.7 cm
- largest width = 12.3 cm
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Part (b)
Use the smallest length and width to get the smallest possible area
smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23
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Repeat the same idea but for the largest length and width to get the largest possible area
largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75
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<h3>
Answers:</h3>
- smallest area = 256.23 square cm
- largest area = 276.75 square cm
When you have a negative exponent, you move the variable with the negative exponent to the other side of the fraction to make the exponent positive.
For example:
or 
(you don't move the "2" because "2" has an exponent of 1, only "y" has the negative exponent)
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (But you can only combine the exponents when the variables are the same)
(You can't combine them because they have different variables of x and y)
There's two ways you can do this. Either by first making all the exponents positive then do subtraction, or multiply them then make all the exponents positive. I'm doing the 2nd way.
You can combine the numbers 2 x 9 x 2 = 36
Now multiply the terms with the same variables
Now make all the exponents positive
If you were to do subtraction, here is what you need to know:
When you divide a variable with an exponent by a variable with an exponent, you subtract the exponents together. (Reminder: they have to be the same variable in order to combine the exponents)
For example:
or x
