Answer:
The two integers are 23 and 12
Step-by-step explanation:
Let the two integers be f and g
Let f be the biggest and g the smallest integer
From the first statement, the sum of the two integers is 35 i.e
f + g = 35. (1)
From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e
2f — g = 34. (2)
Now we'll solve by elimination method as follows:
Add equation (2) and (1) together:
2f — g = 34
+ f + g = 35
3f = 69
Divide both side by the coefficient of f i.e 3
f = 69/3
f = 23
Substituting the value of f into equation(1)
f + g = 35
23 + g = 35
Collect like terms
g = 35 — 23
g = 12
The two integers are 23 and 12
Implicit defferentation
remember that dy/dx y= dy/dx
so
take derivitive of both sides

solve for

minus 2x both sides

divide both sides by 2y


when is the slope equal to

solve for





find where the circle and this line intersects
substitute

for y




times both sides by


sqrt both sides, take positive and negative roots
x=+/-10
sub back




the points are (10,-24) and (-10,24)
You use the coordinates to plug it into the equation.