Answer:
(–1, –6)
Step-by-step explanation:
Given that S(3, –5) was translated to S'(–4, 1), the transformation rule is (x-7, y+6). Then, the coordinates of square RSTU are:
R'(–8, 1) -> (-8+7, 1-6) -> R(-1, -5)
S'(–4, 1) -> (-4+7, 1-6) -> S(3, -5)
T'(–4, –3) -> (-4+7, -3-6) -> T(3, -9)
U'(–8, –3) -> (-8+7, -3-6) -> U(-1, -9)
The point (–1, –6) lies on the segment RU
M = (y2 - y1) / (x2 - x1)
m = (-2 - 2) / (4 - 0)
m = -4 / 4
m = -1
The slope of the line that goes through (0, 2) and (4, -2) is -1.
Answer:
x + 5x
Step-by-step explanation:
X is the variable in this case, or 'a number.' This number x is added to the product of 5 and the number, or 5x. Therefore the expression is x+5x. It can also be simplified to 6x.
Answer:
how can I tell u the answer which out a pic
Step-by-step explanation:
The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.
Step-by-step explanation:
Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.
Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.
The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.
So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.
The number of years to reach 13,500 dollars =
= 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.