To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.
Taking the negative reciprocal of -1/5 gives 5.
Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.
y=5x+b
4=5(1)+b
4=5+b
b=-1
Therefore, the equation of the perpendicular line is y=5x-1.
Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<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.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
59.5
Step-by-step explanation:
First we have to multiply 7 by 17 (7x17).
Then you have to divide it by 2.
1/2 X base x height
7 Meters. 63/9=7
Oh no! Something went wrong while adding your answer
It's too short.<span> Write at least 20 characters to explain it well.</span>
Answer: 0.18 seconds
step by step explanation: if it takes 0.09 seconds to knock down 4 dominoes, and you are trying to find out how long it will take to knock down 8 dominoes, you can see that 8/4=2, so you need to multiply 0.09 times 2 to get your answer, which is 0.18 seconds.
