The answer is D. Solve for the first variable in one of the equations, then substitute the result into the other equation.
Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form 
, what is the value of b?
- m is the slope
- b is the y-intercept
The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.
The perpendicular line:
- Has a slope of
- Passes through the point (15, -2)
To find the equation of a line that passes through a specific point, you need to use slope-intercept form.
- y₁ is the y-value of the point
- m is the slope
- x₁ is the x-value of the point
y₁ is -2, m is -1/5, and x₁ is 15.
Substitute the known values into the equation:
Open the parentheses and distribute:
The new equation will be:
Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.
The equation of the perpendicular line is:
The value of b is 1.
Answer:Oh, be very careful about the "$87."
Let the dryer cost x.
Then, the washer costs (x+87)
Together, they cost (x) + (x+87) = 787
2x+87 = 787
2x = 700 [subtract 97 from both sides]
x = 350 [divide both sides by 2]
The dryer cost $350.
Step-by-step explanation:
Cos (3π/4) can be written as,
cos (π-π/4) = -cosπ/4 = -1/√2
similarly sin3π/4=sin(π-π/4) = sin π/4 = 1/√2
Answer:
The answer is "False."
Explanation:
A "finance charge" refers to the amount of money that a person will pay for borrowing or loaning a certain amount of money. This includes the <u>interest for the loan and other added fees.</u>
Although this is an important information you'll need to know, it is also important to consider other things such as<em> how it is being calculated in order to anticipate the amount you will be paying in the future. </em>You should also <em>consider ways on how to avoid it.</em>
The finance charge can be calculated in a simple way:
balance × monthly rate
You can get the monthly rate, if you know the Annual Percentage Rate (APR) of your loan. You can just divide the APR by 12, if you'd like to get the monthly rate. Let's say, your balance is $300 and your APR is %20. Then:
%20 APR ÷ 12 months = %1.6 interest rate per month
So, $300 × %1.6 (0.016) = $4.8 monthly finance charge
This means, that you also have to pay the monthly finance charge, in addition to your balance.
In order to prevent incurring finance charges, it is best to pay the full balance every time. This will enable you to save more money, rather than paying charges in the future.
