Answer:
x = 3
Step-by-step explanation:
First, simplify by subtracting 2x from 6x:
6x - 2x + 8 = 20
4x + 8 = 20
Then, solve for x:
4x + 8 = 20
4x = 12
x = 3
So, the answer is x = 3
Answer:
4,-6,2,4,8
Step-by-step explanation:
the domain are the one at the top like the numerator of a fraction
Answer:
-2, 0, 1/2, 1
Step-by-step explanation:
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:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
Step-by-step explanation:
Given the rational expression

Let us first simplify before making our deductions.
Opening the brackets

Taking LCM

Opening the brackets and simplifying

The following statements are therefore true:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.