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julsineya [31]
3 years ago
9

Given  f(x) = x + 5 and  g(x) = 11x - 5, what is  f(x) + g(x)?

Mathematics
1 answer:
juin [17]3 years ago
6 0
F(x)+g(x)=(x+5)+(11x-5)=x+11x+5-5=12x using the commutative property. 
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13. Jessica has taken 8 quizzes. The mean of her scores is 92. Her first 6 scores are shown.
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two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s
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Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)

diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)

diagonal^2 = 53.284

diagonal = 7.3\ meters

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

a / sin(A) = b/sin(B)

5 / sin(A) = diagonal / sin(130)

sin(A) = 5 * sin(130) / 7.3

sin(A) = 0.5247

A = 31.65\°

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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