A linear equation representing the relationship between two entities can be expressed as:
y = ax + b
Here, x denotes the number of passengers while y represents the weight (in tons). Based on the initial two scenarios,
10 = 60(a) + b
13 = 84(a) + b
The calculated values for a and b are 0.125 and 2.5 respectively.
For a bus designed for 50 passengers,
y = (50)(0.125) + 2.5
This results in y being equal to 8.75.
Answer:
the interest amount totals $240
Step-by-step explanation:
I hope this is helpful.
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>
The <span>root<span> of a numeral x represents another number that, when multiplied by itself for a specific amount of times, results in x. For instance, the square <span>root<span> of 9 is 3, given that 3 x 3 equals 9. The square <span>root<span> is the term commonly used for the second <span>root<span>. Meanwhile, the term for the third <span>root<span> is known as the cube <span>root<span>. Refer to <span>Root<span> (of a number). because then/</span>
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