What is 6x-13<6(x-2)
2 answers:
For this case we have the following inequality:
To find the solution we follow the steps below:
We apply distributive property on the right side of inequality:
Adding 13 to both sides of the inequality we have:
We subtract 6x on both sides of the inequality:
Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.
Answer:
The solution set is (-∞,∞)
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Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
- x/4 = y/2 ⇒ x = 2y
You have other equation:
- x+ y = 18
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
- x = 2(6) = 12
Then, she should aim 6 feet down the wall.
