Answer:
center: (4,1/2)
radius: .5
Step-by-step explanation:
Group the x and y variables and move the constant (16) to the other side
(x²-8x)+(y²-y)= -16
We need to do something called "completing the square" we do this by taking the b term, dividing it by two and then squaring it
so for (x²-8x) we would take (8/2)² and then add that to both sides we have
(x²-8x+16)+(y²-y+.25)= -16+16+.25
next, we need to factor the x and y groups
(x-4)²+(y-.5)²= .25
Now that we have our equation we can easily find the center and radius
the center is just the constant's sign flipped or (4,.5) and the radius is the square root of the constant on the other side or √.25= .5
Answer:
33cm^2
Step-by-step explanation:
Add the areas of the individual shapes so one rectangle and a square.
4*2 + 5*5 > 8 + 25 = 33
Answer:
8xy-3y + 2(9x-5y+4) = 18
Step-by-step explanation:
We need to find the value of the given expression:
8xy-3y + 2(9x-5y+4) ....(1)
when x = 3 and y = -4
Put the values of a and y in equation (1)
8×3×(-4)-3(-4)+ 2(9×3-5(-4)+4)
= -96 +12 + 2(27 + 20 +4)
= -84 + 2(51)
= -84 + 102
= 18
Hence, the value of the given expression is 18.
Answer:
y=5x+4
Step-by-step explanation:
Hi!
They want you to use the slope-intercept form
slope-intercept form is y=mx+b
m=slope
b=y-intercept
So, since m=5 and b=4 you just replace the values in y=mx+b
Therefore, y=5x+4
I hope this helps!!! :)
Answer:
40 days
Step-by-step explanation:
A barrel contains 50 gallons of water leaked out of the barrel at a rate of 5 gallons every 4 days at this rate
5 gallons leaked out in 4 days
50 gallons will leak out in (50x4)/5 = 10 ×4 = 40 days
It will take 40 days for the 50 gallons(1 barrel) to leak out