Give the slope of each of the following lines Name a point on each line y+2=2/3 (x-4)

Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3 or y = 2/3x - 14/3

Slope = 2/3

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How do I get this answer?

Keith_Richards [23]

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

cos(2x) = cos²(x) -sin²(x)
cos²(x) +sin²(x) = 1
cos(x) = 1/sec(x)

<h3>Proof</h3>

Starting with the left side, we can transform it into the right side.

$2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}$

4 0

2 years ago

Fill in the blank. In the triangle below, zº =

lianna [129]

Answer:

$38^{\circ}$

Step-by-step explanation:

In a given triangle, the sum of every angle is always $180^{\circ}$ . Here, we are given a right angle ( $90^{\circ}$ ), as well as another $52^{\circ}$ angle. Simply subtracting from 180 will give us the answer.