Write an equation of the line that is perpendicular to the line y =1/2x + 8 that passes through the point (4,6).
1 answer:
You might be interested in
1 step (B): raise both sides of the equation to the power of 2.
.
2 step (A): simplify to obtain the final radical term on one side of the equation.
.
3 step (F): raise both sides of the equation to the power of 2 again.
.
4 step (E): simplify to get a quadratic equation.
.
5 step (D): use the quadratic formula to find the values of x.
.
6 step (C): apply the zero product rule.
.
Additional 7 step: check these solutions, substituting into the initial equation.
Equation of a line:
m = gradient: The difference between two y points and two x points.
c = y-intercept: Where the line crosses the y-axis (x=0)
You have:
so you are missing the m and the c.
To calculate m find two y coordinates -you have (12, <u>7</u>) and (0, <u>1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>12</u>, 7) and (<u>0</u>, 1)- This gives:
To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:
When you plug these values into the equation you get your answer:
m = gradient: The difference between two y points and two x points.
c = y-intercept: Where the line crosses the y-axis (x=0)
You have:
so you are missing the m and the c.
To calculate m find two y coordinates -you have (12, <u>7</u>) and (0, <u>1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>12</u>, 7) and (<u>0</u>, 1)- This gives:
To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:
When you plug these values into the equation you get your answer:
Answer:
after 10 seconds the charge is 1.624
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one.
The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?
C (t) = 12
My answer:
Given the information:
C (t) = 12
when t =10 we have:
C (10) = 12
<=> C (10) = 12
<=> C (10) = 12
<=> C (10) = 12 * 0.1353
<=> C (10) = 1.624
Hence, after 10 seconds the charge is 1.624