Answer:
Step-by-step explanation:
Answer:
(x-1)²+(y-3.5)² = 265/4
Step-by-step explanation:
first find the midpoint (center of the circle)
(9+-7)/2, (2+5)/2
(1, 3.5) = center
then distance formula to find diameter
√(9- -7)²+(2-5)²=√256+9 = √265
The radius is half the diameter = (√265)/2
Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center
Now you can plug everything in.
(x-1)²+(y-3.5)² = 265/4
Answer: The required expression will be
Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by
Hence, the required expression will be
15x+5y+6
It can be simplified further if there is an amount this is equal to.
Answer:
12
Step-by-step explanation:
These are all the possible answers i know from experience.
2x + 2y = 7
x^2 - 4y^2 = 8
2x = -2y + 7
x = -y + 7/2
(-y + 7/2)^2 - 4y^2 = 8
y^2 - 7y + 49/4 - 4y^2 = 8
0 = 3y^2 + 7y + 8 - 49/4
0 = 12y^2 + 28y + 32 - 49
0 = 12y^2 + 28y - 17
y = (-b ± √(b^2 - 4ac))/(2a)
y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))
Dividing by 2 is like dividing by √(4):
y = (-14 ± √(7*28 + (12)(17)))/(2*6)
y = (-7 ± √(7*7 + (3)(17)))/6
y = (-7 ± 10)/6 = 1/2 or -17/6
x = -y + 7/2 = 3 or 19/3
<span>Solutions are (3,1/2) and (19/3,-17/6)</span>
