Step-by-step explanation:
The formula for the slope is <em>y=mx+b</em>, where <em>m</em> is the slope and <em>b</em> is the y-intercept. Since 2 is being multiplied by <em>x</em>, that means it is the slope. The variable <em>y</em> is being added, so it has to be the y-intercept.
Answer:
2=slope & y-intercept=y
The circumference is about 12. This would been a bit easier if I knew the diameter.
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
