To rotate the figure 180 degrees, you would make it so all the points are:
(x,y) to (-x,-y)
Basically, you would switch every sign on the point.
(1,-1) -> (-1,1)
(3,-2) -> (-3,2)
(3,-4) -> (-3,4)
Those new points would be P'Q'R'.
Then when you reflect over the x-axis, you would flip every y sign.
(-1,1) -> (-1,-1)
(-3,2) -> (-3,-2)
(3,-4) -> (3,4)
You would chart those points as P"Q" R".
I hope this helps! (review my answers)
Sorry this took so long!
Hi,
Your Question states: If Sarah has 50 Nickles and 20 dimes and Bill has 230 pennies and 5 quarters. Who has the more amount of money?
Answer: Sarah
Explanation: Sarah amount is $2.50, because the amount of nickels is 5 cents and if you multiply 5 times 50 you answer becomes $2.50. 20 dimes and every dime is 10 multiples up to $2.00. 230 is $2.30, and 5 quarters each being 25 cents is $1.25 so your answer is Sarah with 50 nickels.
I Hope I Helped!
<em>~KingJupiter</em>
To solve this problem, we must substitute the value of -1 in for x in the function. This means that for every x there is in the equation, we must substitute the value -1 in for it in order to find the value of g(-1). This is modeled below:
g(x) = -5x + 13
g(-1) = -5(-1) + 13
Next, we must simplify using the order of operations. PEMDAS outlines this concept, telling us to simplify parentheses first, exponents next, then multiplication and division, and finally addition and subtraction. In this case, we will solve the multiplication and then the addition, as modeled below:
g(-1) = -5(-1) + 13
g(-1) = 5 + 13
g(-1) = 18
Therefore, your answer is 18.
Hope this helps!
Answer:
f(n) = -8 -3(n -1)
Step-by-step explanation:
The given recursive formula tells you that the difference between two sequential terms is -3, and that the first term is -8. This is a formula for an arithmetic sequence, so we can use the explicit formula ...
f(n) = a1 +d(n -1)
for a1 = -8 and d = -3.
f(n) = -8 -3(n -1)