Answer: A) 0 triangles
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Explanation:
Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2
For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.
I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.
As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.
In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm
Answer:
M' is {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}
Step-by-step explanation:
horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other
Answer:
{60°,300°}
b.
Step-by-step explanation:
edge 2020
The coefficients here are 4, 32, and -24. The GCF of these values is 4.
As for the variables, the values are x^7, x^5, and x^4. The GCF is x^4
To factor this expression take out 4x^4 from each of the terms.
Coefficients should be divided by four and exponents should be subtracted by 4 since they have the same base (x).
The answer here is A.
