Which system is the solution of the graph

Mathematics

1 answer:

Svetradugi [14.3K]4 years ago

4 0

Answer: A. y ≤ 4 and y > |x-1|

Step-by-step explanation:

y ≤ 4 is a horizontal line that is represented by a less than or equal to sign, so we know that the line has to be solid and not dotted, indicating that it includes the value of which the line passes through. Also, since it's less than, we know that it will include all values below the horizontal line.

y > |x-1| is an absolute value function that's represented by a greater than symbol, so that means it has to be dotted since it does not include |x-1|. Since it's greater than, it's going to include all values above the points of the function.

When graphing these two functions, you will get the graph as shown in the picture.

Hope this helps you

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A slide 4.1 meters long makes an angle of 35° with the ground. To the nearest tenth of a meter, how far above the ground is the

Artemon [7]

Hey there! I'm happy to help!

We want to figure out what x is. Let's use a trigonometric ratio of our 35 degree angle to find it.

We see that x is opposite of the 35 degree angle. We also see that our hypotenuse 4.1 m. The hypotenuse is always across from the right angle.

The trigonometric ratio that deals with opposite and hypotenuse is the sine, which is the opposite divided by the hypotenuse. This gives us the following equation.

$sin35=\frac{x}{4.1}$