What you do is get into the form
(x-h)^2+(y-k)^2=r^2
(h,k) is center
r=radis
complete the square with x and y
x^2+y^2-2x+4y-11=0
group x and y terms together
(x^2-2x)+(y^2+4y)-11=0
take 1/2 of linear coefieicnt and add postive and negative
for x^2-2x, -2/2=-1, (-1)^2=1
for y^2+4y, 4/2=2, 2^2=4
(x^2-2x+1-1)+(y^2+4y+4-4)-11=0
complete the square
(x-1)^2-1+(y+2)^2-4-11=0
add like terms
(x-1)^2+(y+2)^2-16=0
add 16 both side
(x-1)^2+(y+2)^2=16
(x-(1))^2+(y-(-2))^2=4^2
(x-h)^2+(y-k)^2=r^2
(h,k)
(1,-2)
r=4
center is (1,-2)
radius is 4 units
Answer:
Alex has £44
Pierre has £66
Step-by-step explanation:
P = A + 20
P+ 22 = 2A
solve for A
plug in p
(A + 20) + 22 = 2A
A + 44 = 2A
subtract A from both sides
44 = A
solve for P
plug A in
P = 44 +22
P = 66
Pls give brainlyist
Answer:
k lol
Step-by-step explanation:
Answer:
C. Converse of Alternate Interior Angles Theorem
Step-by-step explanation:
Look for a Z shape (or a backwards Z) where the top and bottom bars of the Z are the parallel lines. Then the alternate interior angles are tucked into the the "corners" of the Z. The answer A is close but it says if the lines are parallel then the angles are congruent (the alt-int angles) So the converse is that if the alt-int angles are congruent then the lines are parallel. Your answer is C.
Answer: perimeter is 14 units
Explanation:
You could use the distance formula to find the lengths of segments AB, BC, CD, and DA; or you could graph rectangle ABCD and note that you can count out the spaces to find the lengths of each side. Option 2 is easier in my opinion. Check out the diagram below. The horizontal portion is 2 units and the vertical part is 5
perimeter = 2*(length+width)
perimeter = 2*(5+2)
perimeter = 2*7
perimeter = 14
