Area = length x width
Because the width is less than 1 foot the area would be less than 8 square feet.
Answer: smaller than
210 balloons divided by 70 (the percent) = 3 (1% = 3 balloons)
3 times 100 = 300 Balloons
The total number of balloons purchased is
300 balloons
Let the eq of circle be
x
2
+y
2
+2gx+2βy+c=0
now, x intercept = 2
g
2
−c
But circle touches x axis ∴ x intercept = 0
∴2
g
2
−c
=0∴g
2
=c
∴eq
n
become x
2
+y
2
+3gx+2βy+g
2
=0
Now circle passes through (3, 0) and (1, 4)
∴(3)
2
+(0)
2
+2g(3)+0+g
2
=0
9+6g+g
2
=0
∴g=−3
Also (1)
2
+(4)
2
+2(−3)(1)+2β(4)+9=0
∴1+16−6+8β+9=0
∴20+8β=0 ∴β=
2
5
Hence eq
n
of circle is
x
2
+y
2
−6x−5y+9=
The standard equation of the circumference is given by:
(x ─ a) ^ 2 + (and ─ b) ^ 2 = r ^ 2
Where,
The ordered pair (a, b) represents the center of the circle.
The radius of the circumference is r.
In this case to find the radius of the circumference we must find the distance between the points (1, -6) and (7, -2).
We have then:
r = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
r = root ((7-1) ^ 2 + (-2 - (- 6)) ^ 2)
r = 2 * root (13)
The equation of the circumference will be:
(x ─ 7) ^ 2 + (y + 2) ^ 2 = (2 * root (13)) ^ 2
(x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
Answer:
(x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
Answer:
Step-by-step explanation: