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In this problem, the point-slope form of a line is defined as:

Where:

represents a point on the line,

and m stands for the slope.

Given the details:

Substitute the values:

Thus, the equation of the line is:

Answer:

Answer:

60.36 steps West from center

85.36 steps North from center

Step-by-step explanation:

Refer to the attached

Musah's starting point and movement are depicted in the image.

• 1. He moves 50 steps towards the North,
• 2. Next, he moves 25 steps towards the West,
• 3. Then he proceeds 50 steps on a bearing of 315°. We now recognize that North is measured at 0°

Note: According to the Pythagorean theorem, a right triangle at 45° with hypotenuse 'a' will have legs equal to a/√2.

What is the distance West of Musah's final position from the center?

25 + 50/√2 ≈ 60.36 steps

What is the distance North of Musah's final position from the center?

• 50 + 50/√2 ≈ 85.36 steps

To address this issue, we will utilize the formula for determining the distance from a point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

We have the line equation:

y = 2 x + 4

Rearranging it results in:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

The coordinates given are:

(-4, 11) = (x, y)

Substituting into the distance formula:

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance ≈ 6.7

<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>

Answer:

The attached figure illustrates the graph.

Step-by-step explanation:

Let

x represents the count of open acres

y depicts the total developed acres

It is established that

corresponds to inequality A

corresponds to inequality B

Keep in mind that

if the open acres, x, is limited to a maximum of 1, then it follows that x must adhere to ≤ 1

The system of equations can be solved by graphing

The solution is found in the shaded area (Note Negative acreage counts are not permissible)

The attached figure serves as a visual representation.