20 is the answer
I hope this help
Answer:
y = -2x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (3, 4)
Slope: -2
y = -2x + b
4 = -2 ( 3 ) + b
4 = -6 + b
b = -2
y = -2x - 2
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
x=32 degrees
Step-by-step explanation:
We know 180 degrees in triangle
That box means 90 degrees so...
58+90=148
180-148=32
x=32 degrees
Plug in your Y value into the bottom equation like so:
4x + 3x-3=11, combine like terms
7x-3=11 solve for x
7x= 14
x=2
Plug in x value into first equation
y = 3(2) -3
y= 6-3, y = 3
answer: (2,3)
