Answer:
(4,-1), (2,-5), and (5,-5).
Step-by-step explanation:
There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)
I never heard of a clockwise one before.
Maybe you can use this to help you find the formula for the clockwise rotation.
Answer:
(-2)(4) - 7^2
-8-7^2
-8-49
=-57
Step-by-step explanation:
B) < because the more negative or the farther away from zero a number is the smaller it is
c) = because if you subtract a negative number you are basically adding
d) = because anytime you multiply a negative by positive your answer will always be negative
a) -11 because -8+3=-5 and -5-6=-11
b) 11 because when you multiply a negative number by another negative your answer will always be positive so -3x-2=6 and 6+5=11
c) -4 because a negative number divided by a positive is always negative
d)42 because a negative number subtracted by a positive number makes a number more negative (btw always solve things in parenthesis first) so -4-3=-7 and again a negative multiplied by another negative is always positive so -7x-6=42
Answer:
Step-by-step explanation:
In order to find the value of n that satisfies this equation, we can perform a series of algebraic steps on it to solve for n.
- <em>Distribute in the 8 on the left side:</em>
- <em />
<em> </em> - <em>Add 4n to both sides</em>
- <em>Add 16 to both sides</em>
- <em>Divide both sides by 20</em>
Therefore, n=1 is the value of n that satisfies this equation.
Hope this helped!
Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
