2 years ago

Please help! thank you

Mathematics

1 answer:

lyudmila [28]2 years ago

7 0

Answer:

3rd, 4th, last

Step-by-step explanation:

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Write the equation of the line in fully simplified slope-intercept form.

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Step-by-step explanation:

Let's pick two points on the line: $P_1(-4, 1)$ and $P_2(2, -2).$ Let's calculate the slope of this line using these points:

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With this value of the slope, we can write the general slope-intercept form of the equation as

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How to find the θ in this equation: tan(θ+16°)=1/tan(θ+60°) by using the trigonometric identities?thanks

DedPeter [7]

Answer:

$\huge \theta =7°$

Step-by-step explanation:

$tan( \theta + 16 \degree) = \frac{1}{tan( \theta + 60 \degree) } \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta - 60\degree \\ \theta +\theta = 30 \degree - 16\degree \\2 \theta = 14 \degree \\ \theta = \frac{14 \degree}{2} \\ \huge \red{ \boxed{\theta =7 \degree}}$

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3 years ago

Determine the number of solutions that exist to the equation. 8(j-4)=2(4j-16)

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<span>8(j-4)=2(4j-16)
8j - 32 = 8j - 32

Since both sides are equal, there are is an infinite number of solutions.

</span>

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