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Sidana [21]
3 years ago
8

Solve each inequality, graph the solution on the number line, and write the solution in interval notation

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

(-\infty,+\infty)

Step-by-step explanation:

The given inequality is 3x-2>4 or 5x-3\leq 7

We group similar terms to obtain: 3x>4+2 or 5x\le7+3

Simplify to get:

3x>6 or 5x\le10

x>2 or x\le 2

This implies that the solution set is all real numbers.

The solution in interval notation is (-\infty,+\infty)

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Answer:

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3 years ago
The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
timofeeve [1]

Given:

The equation of a circle is

x^2+y^2=169

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To find:

The gradient of the line l.

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Slope formula: If a line passes through two points, then the slope of the line is

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Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

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Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

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m=-\dfrac{12}{5}

Therefore, the gradient or slope of the tangent line l is -\dfrac{12}{5} .

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2 years ago
The sum of the ages of Bryce and Sonya is 72 years old. 6 years ago, Bryce’s age was 3 times Sonya’s age. How old is Bryce now?
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5 0
2 years ago
Read 2 more answers
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