Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
Do what is () first then do what is out of the () and you will get an answer
Answer: C. 124
Step-by-step explanation:
In parallelograms, any two consecutive interior angles add to 180 degrees. CDA and BCD are consecutive interior angles. Since the measure of angle CDA is 56 and the sum of CDA and BCD equal 180, then to find the value of BCD, evaluate 180-56.
180 - 56 = 124
1) Since order does not matter, 10C5 = 252.
2) I don't think I understand the 2nd question, can you elaborate.
40+3.50x5=57.50 so you purchased 5 movies for the total of 57.50 at the end of the month