
x = -4 OR x = 6
The correct options are B and G
Answer:
4y = x - 17
Step-by-step explanation:
First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y =
+
which make the gradient, m, the coefficient of x =
. Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)
Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)
y - 3 =
(x - 5); y - 3 =
-
; y =
-
+3
y =
-
; y =
; 4y = x - 17
In terms of its radius
, the volume of the balloon is

The diameter
is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time
:

The diameter increases at a rate of
. When the diameter is
, we have

or about 23,562 cc/min (where cc = cubic centimeters)
Let the number be n
3*n - 10=25
3*n=25+10
3*n=35
n=35/3=11*2/3=11.67