Answer:
2.) 8/5
Step-by-step explanation:
a4 = 8/5
Considering the linear function described, 500 liters of fuel were initially in the tank.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.
More can be learned about linear functions at brainly.com/question/24808124
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2. 2 x (12 x 6) + 2 x (15 x 6) + 2 x (12 x 15) = 684
Answer:
the equation of line w will be y = 1/109x + 325/109
Step-by-step explanation:
when a line is perpendicular to another line, that means their slopes are reversed signs and flipped.
so if one slope is 2/3, the perpendicular slope would be -3/2
so in this problem, line w would have 1/109 be the slope.
using this, we can substitute m as the slope and the given point in the problem as x and y and solve for b in the slope-intercept form (y = mx +b)
m = 1/109
(2,3)
y = mx + b
3 = (1/109)2 + b
3 = 2/109 + b
327/109 = 2/109 + b
325/109 = b
putting it all together, the equation of line w will be y = 1/109x + 325/109
