We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4
Answer:
AECG
Step-by-step explanation:
1
sqrt(49) = 7
sqrt(a^2) = a
sqrt(b^2) = b
For every two variables you can take one out from under the root sign and thorough the other one away.
Answer: E
2
sqrt(36) = 6
sqrt(a^2) = a See comment for 1.
b must be left where it is. There is only 1 of them.
6asqrt(b)
Answer: A
3. sqrt(25) = 5
sqrt(b^2) = b
a must be left alone. There's only 1 of them.
5b sqrt(a)
answer: C
4
sqrt(81 a b)
sqrt(81) = 9
The variables must be left alone. There's only1 of them
9 sqrt(ab)
Answer G
Answer:
1.15p + 285 = 5.84
Step-by-step explanation:
This problem has two equations. Total cost and Total pounds. The cost and the pounds
p = apple pounds
b = banana pounds
<u>Cost</u>
1.90p + .75b = 5.84
<u>Pounds</u>
p + b = 3.8
<u>Now we use the substitute method for system of equations to solve</u>
p + b = 3.8
b = -p + 3.8
<u>Now that we know what b equals, substitute is for b in the cost equation.</u>
1.90p + .75b = 5.84
1.90p + .75(-p+3.8) = 5.84
<u>distribute / multiply .75 by (-p+3.8)</u>
1.90p + -.75p + 2.85 = 5.84
<u>Combine the p values</u>
1.15p + 285 = 5.84
Answer:
24
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Formula for potential energy is PE = m*g*h
where
m is the mass, in kg
g is the acceleration due to gravity, in meters per second squared, and
h is the height, in meters
The problem gives m = 50, g = 9.8, and h = 5. We plug that into the formula and get out answer. So:

Correct answer is C.