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>
Approximately 2, I believe... I calculated it to be around 2.10.
The capacity is approximately 3.5 fluid ounces. In order to determine this, we need to compute the volume of a cone-shaped cup. The formula for the volume of a cone is: 1/3 * π * r^2 * h, where r equals the diameter divided by 2, which gives 1.35 inches, and h equals 3.3 inches. After substituting these values, we find the volume to be V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inches. To convert cubic inches to fluid ounces, we use the relationship that 1 fluid ounce is equal to 1.8 cubic inches. Therefore, x fluid ounces equal to 6.3 cubic inches leads to x = 6.3 / 1.8, which results in 3.5 fluid ounces.
Answer:
The sequence decreases by 5
thus the subsequent numbers are
-13,-18,-23,-28
