Answer:
obtuse
Step-by-step explanation:
A "form factor" can be computed whose sign will tell you the classification of the triangle. For short sides a, b and long side c, the form factor is ...
f = a² +b² -c²
And the interpretation is ...
- f > 0 . . . acute
- f = 0 . . . right
- f < 0 . . . obtuse
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<h3>form factor</h3>
For the given side lengths, the form factor is ...
f = 11² +15² -20² = 121 +225 -400
f = -54
<h3>interpretation</h3>
The value is less than zero, signifying an obtuse triangle.
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<em>Additional comment</em>
The value f/(2ab) = -54/(2·11·15) = -9/55 is the cosine of the largest angle. Here, the largest angle is arccos(-9/55) ≈ 99.4°. This is greater than 90°, hence an obtuse angle.
This cosine relation comes from the Law of Cosines. The interpretation of the "form factor" can be developed by considering the Pythagorean theorem (f=0 ⇒ right triangle) and the relationship between sides and angles. If the longest side is longer than necessary for a right triangle, the largest angle will be greater than 90°.
Answer: 4
Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.
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Answer:
x=2.... is that what you're asking?
Step-by-step explanation:
Parallel lines has equal slopes.
For line, 2x + 3y = 4
3y = -2x + 4
y = -2/3 x + 4/3
i.e. slope is -2/3
Equation of a line is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
y - (-4) = -2/3 (x - 1)
y + 4 = -2/3 x + 2/3
3y + 12 = -2x + 2
2x + 3y = 2 - 12
Required equation in standard form is 2x + 3y = -10