Simplify the following, leaving your answer in index form- attached document.
1 answer:
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Answer:
0 < x < 8
Step-by-step explanation:
| x-4| < 4
There are two solutions one positive and one negative. Remember to flip the inequality on the negative solution
x-4 <4 and x-4 > -4
Add 4 to each side
x -4+4 <4+4 and x-4+4 > -4+4
x < 8 and x > 0
0 < x < 8
open circles at 0 and 8 and a line connecting them
How many minutes are in 9 hrs
1 hr = 60 min
You must apply dimensional analysis (aka setting up fractions where the units you want will cancel out and the ones you want stay)
9 hrs is 540 min
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Therefore, the side lengths 10, 14, and 15 form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.
The three conditions that need to be met for any triangle with the side lengths A, B, and C.
Given the side lengths of a triangle
- 10
- 14
- 15
Let us check whether it satisfies the three conditions.
10+15 > 14 → TRUE
10+14 > 15 → TRUE
14+15 > 10 → TRUE
As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.