The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.
<h3>How to solve inequality?</h3>
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:
3r ≤ 4r - 6
subtract 4r from both sides of the inequality,
3r ≤ 4r - 6
3r - 4r ≤ 4r - 4r - 6
3r - 4r ≤ - 6
- r ≤ -6
divide both sides of the inequality by -1
Therefore, the solution is r ≥ 6
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Answer:
18x² + 48x - 50
Step-by-step explanation:
Area of rectangle = width x length
Area of square = width²
Therefore, area of park not occupied by the turtle park would be the area of the rectangular park MINUS the area of the turtle pond:
= (3x + 7)(6x + 2) - 8²
= 18x² +42x + 6x + 14 - 64
= 18x² + 48x - 50
Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
<h3>What is the
Pythagorean Theorem?</h3>
In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².
Given the following parameters of the right triangle:
- c = 4 cm
- a = 3 cm
- b = ? (other leg)
Apply the Pythagorean theorem:
b = √(4² - 3²)
b = 2.6 cm (nearest tenth)
Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
