Answer:
no solution
Step-by-step explanation:
If we subtract the left side of the equation, we get ...
This equation will equal zero only if m=3, which is disallowed because it makes the denominator zero. Thus, there is no solution.
Simplify -8-(12)+(-2)
1 answer:
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Answer: Choice A
four and eighty three hundredths with the three repeating
In other words, 4.8333...
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Explanation:
Use long division to find that 5/6 = 0.8333... where the 3s go on forever. The steps for the long division are shown in the diagram below. You can use a calculator to confirm.
Therefore, 4 & 5/6 = 4 + 5/6 = 4 + 0.8333... = 4.8333...
Since the 3 repeats forever, we can use a horizontal bar to place over the 3 like this
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.
The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.
The triangle is obtuse.
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Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).
In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:
hypotenuse = √(6² +8²) = √100 = 10
Your long side is longer, so your largest angle is larger than 90°.
Law of Cosines:
angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°
