<h3>
Answer: 4</h3>
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Explanation:
We're given the following
which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.
So looking at the multiples of 6 that are between 30 and 56 leads us to
{30, 36, 42, 48, 54}
but we cross off 30 as we want x to be larger than that, so we get this updated final list
{36, 42, 48, 54}
There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.
Answer:
The Pythagorean Theorem is used for right triangles only, because it's a mathematical relation between the legs of the triangle and the hypothenuse, where each leg must be less than the length of the hypothenuse.
It's important to correctly identify each element of the triangle, that is, which sides are legs, and which side is the hypothenuse, because the Pythagorean Theorem has a specific order, that means, if we make a mistake identifying each element, then the result will be wrong.
For example, the expression 
is the theorem, where 
is the hypothenuse. This theorem states that the square of the hypothenuse (longest side) is equal to the sum of the square of the legs. So, if we call a leg instead of the hypothenuse, the theorem won't work.
The answer is a, when multiplying numbers with the same base you add their exponents
Answer: -4 / 8 - 12 / 4 = -16 / 12
Step-by-step explanation:
-4g = (-12 / 4)
2f = (-4 / 8)
Just sum them...
Answer:
In order top to bottom: perpendicular, parallel, neither
Step-by-step explanation:
For lines to be perpendicular, their slopes must be the opposite reciprocals of each other. That means the fraction is flipped and the sign is flipped. For the first one it's 3/4 and -4/3 which is opposite reciprocals.
For lines to be parallel, the slopes are the same. The second one has both slopes = 1/2.
The last one is neither because it's not equal and they're not opposite reciprocals.
I recommend graphing these if you're still having trouble with the concept. You can try desmos.com, that's a good website to use.
