A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included
2 answers:
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Answer:
D. 7.8 miles.
Step-by-step explanation:
So, to solve this, you need to use the Pythagorean theorem to find the distance from the baseball field to his home. You know two of the sides of the triangle formed, 6 and 5. The Pythagorean theorem is a² + b² = c². In this case, it would be 6² + 5² = c². If you solve this, you would find that c is 7.81024967591. Just round it to the nearest tenth like instructed. This would get you 7.8 as the answer.
Extra work just in case:
6² + 5² = c²
36 + 25 = c²
61 = c²
=
7.8 ≈ c
Visual just in case:
Answer:
Step-by-step explanation:
First, to figure out the equation of a line you must find the slope then plug in the coordinates.
In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.
Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.
For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.
Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.
Then you plug in the slope into the equation of a line along with the coordinate.
A line is y = mx + b
Since you found the slope, m = 1/3
They also give you the coordinate (3,5), meaning when x = 3, the y =5.
You plug everything into the equation to solve for b:
5 = (1/3)(3) + b
b = 5 - (1/3 * 3) = 5 - 1 = 4
Since you have values for m and b, the equation can now be constructed as
y = 1/3x + 4