To simplify a fraction, you must find a number both the numerator and denominator can be divided into, and divide. Say I have 4/6. Both numbers are divisible by 2, so I simplify the fraction to 2/3. As we can no longer divide, the fraction is in simplest form. Hope this helps!
Answer:
there is no shape
Step-by-step explanation:
X^2-18 = 3x
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = {-3,6}
So -3 is the answer
Remember to incorporate Bimdas, into you calculation and ensure where the addition and subtraction occur you work from left to right.
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
