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skelet666 [1.2K]
2 years ago
7

Explain how to do this problem

Mathematics
1 answer:
Darina [25.2K]2 years ago
3 0
The lines are parallel that mean that they both have a slope of 2 
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Given that tan theta = -4/7, and 270° < theta < 360°, what is the exact value of sec theta​
aleksley [76]

Answer:

sec Θ = \frac{\sqrt{65} }{7}

Step-by-step explanation:

Using the trigonometric identity

sec²Θ = tan²Θ + 1

Since 270° < Θ < 360° ← that is fourth quadrant, then

sec Θ > 0, thus

sec²Θ = (- \frac{4}{7})² + 1 = \frac{16}{49} + 1 = \frac{65}{49}, then

sec Θ = \sqrt{\frac{65}{49} } = \frac{\sqrt{65} }{7}

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2 years ago
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Aleksandr-060686 [28]
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Find the vertex of the parabola whose equation is y=-2x^2+8x-5. (2,27), (2,19), (2,3)
Basile [38]

Answer:

Vertex of the parabola is (2,3)

Step-by-step explanation:

The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).

4 0
3 years ago
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ivanzaharov [21]

Answer:

1. 4

2. 16

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Step-by-step explanation:

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A classroom has 2 bookcases that weigh 117 pounds altogether. If they all weigh the same amount, how much does each bookcase wei
Lapatulllka [165]

Answer:

58.5 pounds each.

Step-by-step explanation:

If two bookcases weigh 117 pounds and each weighs the same amount, each bookcase must weigh half of the total weight. 117/2 equals 58.5.

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3 years ago
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