Look at the gradient of both the equations (the x multiplier, usually known as m), and there are a couple of rules:
Parallel: The gradients are identical
Perpendicular: Look at the gradients as fractions. To get the perpendicular to a gradient you flip the fraction and change the sign. If this is the case for the two gradients, then they are perpendicular.
To start, this is an interest problem, meaning you will have to use I=prt where I is the total interest, p is the principle amount, r is the rate, and time is the amount of time in years. Since you know the principle rate is $1200, the rate is 3.9%, and the time is 8 months, you can plug this into the formula. However, keep in mind that you have to convert 3.9% to a decimal before putting it into the formula and the time must be represented in years. 3.9% represented as a decimal would be 0.039 and 8 months would be represented as 8/12 or 2/3 (since there are 12 months in one year). Now that you have this information, plug the values into the formula: i=(1200)(0.039)(2/3). When simplified, you get your answer as $31.20.
Answer:
x=-3
Step-by-step explanation:
Hi there!
<u>1) Determine the slope</u>
Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.
Now, because this line will also be a vertical line, it will also be organized like:
x=d
<u>2) Determine the x-intercept (d)</u>
Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).
Plug this into x=d:
x=-3
I hope this helps!
