Answer:
Step-by-step explanation:
b
Step-by-step explanation:
By using Implicit Differentiation,
d/dx (y² + xy - x²) = d/dx (11x)
d/dx (y²) + d/dx (xy) - d/dx (x²) = 11
2y * dy/dx + x * dy/dx + y - 2x = 11
dy/dx (2y + x) = 11 + 2x - y
dy/dx = (11 + 2x - y) / (2y + x).
At the point (2, 3), we have x = 2, y = 3.
=> dy/dx = (11 + 2(2) - (3)) / (2(3) + (2))
= 12 / 8 = 1.5.
P.S. Your question is weird because (2,3) is not on the graph, let me know what is the correct question thanks!
Answer:
Area = 2025 miles²
Perimeter = 180 miles
Step-by-step explanation:
Given the following :
Scale of drawing = 1 inch : 5 miles
Length of side of the scale drawing = 9 inches
To find The actual perimeter and area of the square, we need ;
Actual length of the drawing :
1 inch = 5 miles
9 inches = (5 × 9) miles = 45 miles
Hence,
Area of a square = a²
Where a = side length
Actual side length = 45 miles
Actual area of square = 45² = 2025 miles²
Actual Perimeter of square :
Perimeter of a square = 4a
a = side length
Actual perimeter = 4(45) = 180 miles
2y + x = 4
x = -2y + 4
y = x^2 - 6x + 8
y = (-2y + 4)^2 - 6(-2y + 4) + 8
y = (-2y + 4)(-2y + 4) + 12y - 24 + 8
y = 4y^2 - 8y - 8y + 16 + 12y - 24 + 8
y = 4y^2 - 4y
4y^2 - 4y - y = 0
4y^2 - 5y = 0
y(4y - 5) = 0
y = 0 x = -2y + 4
x = -2(0) + 4
x = 4
4y - 5 = 0 x = -2y + 4
4y = 5 x = -2(5/4) + 4
y = 5/4 x = -10/4 + 4
x = -10/4 + 16/4
x = 6/4 which reduces to 3/2
so u have 2 sets of points that will work....
(4,0) and (3/2,5/4) <===