Answer:
y = 4x + 6
Step-by-step explanation:
Turn the equation we are given into slope-intercept form.
y - 5 = -1/4(x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
The slope of a perpendicular line is the opposite reciprocal of the original line.
-1/4 -> 4/1 -> 4
Find the new y-intercept using the point given.
y = 4x + b
2 = 4(-1) + b
2 = -4 + b
6 = b
Fill in everything we solved for.
y = 4x + 6
Best of Luck!
Answer:
1/4 Teaspoons: 7
1/3 Cup: 20
Step-by-step explanation:
1/3 Cup:
Butter (2), Sugar (4), Coca (3), Flour(11)
1/4 Teaspoon:
Salt (3), Baking Soda (4)
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
Answer:
Step-by-step explanation:
0.00039 hm
<span>3780
If you consider every letter in the word "tennessee" to be unique there is 9!, or 362880 different ways to arrange the letters. So let's use that as a starting point.
Now there's 4 e's, which we really don't care how they're arranged. So divide by 4!, or 24. Giving us 362880/24 = 15120 different ways to arrange the letters.
There's also 2 n's. So divide by 2!, giving us 15120/2 = 7560 different ways.
Don't forget the s's either. So another division by 2!, giving 7560/2 = 3780 different ways.
And there's no more duplicate letters, so the final figure is 3780 different ways to arrange the letters in the word "tennessee".</span>
