Answer:
a < -12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-11 > 1 + a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Subtract 1 on both sides: -12 > a
- Rewrite: a < -12
Here we see that any value <em>a</em> smaller than -12 would work as a solution to the inequality.
Answer:
G7. (2√3)/3
G8. -2+√7
G9. (6 +2√2 -3√3 -√6)/7
Step-by-step explanation:
G7.
__
G8.
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G9.
_____
<em>Comment on the problems</em>
In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).
The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.
Answer:
Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.
This is a similar triangle.
Step-by-step explanation:
Isosceles triangle is one in which two sides are equal.
Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.
Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.
The other choices given are not similar triangles because
1) they do not have all corresponding angles equal
2) their lengths are unknown and cannot be assumed to be in ratio.
I just did this is our math book at school, but what you do is find the GCF of the numbers. So list all there factors. 27=1x27, 3x9, and that's it. 36=1x36, 2x18, 3x12, 4x9, and that's it. So, next you see that highest numbers they both have in common, in this case it is 9. So your answer is, 9 pansies.
