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
527,519
= 500,000 + 20,000 + 7,000 + 500 + 10 + 9
= (5) * 100,000 + (2) * 10,000 + (7) * 1,000 + (5) * 100 + (1) * 10 + (9) * 1
= (5) * 10⁵ + (2) * 10⁴ + (7) * 10³ + (5) * 10² + (1) * 10¹ + (9) * 10⁰
If one USD is equal to 1,983.24 COP then you would multiply 1983.24 by 100 which gives you 198,324 COP
Answer:
building a aroung 50.34 feet
Answer:
Step-by-step explanation:
10 cups
2/8=10/x
2x=80
X=40cups
40 cups
2/8=40/x
2x=320
X=160
8 cups
2/8=8/x
2x=64
X=32
