You didn’t show the graph so i can’t tell what the numbers are so i can’t figure out the slope or y-intercept
Answer: 3.9ft²
Step-by-step explanation:
Find the area of the rectangle first:
= Length * Width
= 2 * 1.5
= 3 ft²
Find the area of the semi-circle by finding the area of a circle and dividing it by 2:
= πr²
= 3.14 * 1.5/2 * 1.5/2
= 1.76625ft²
Divide by 2:
= 1.76625/ 2
= 0.88 ft²
Add the area of the rectangle to the semi-circle:
= 3 + 0.88
= 3.9ft²
Answer:
Infinite number of solutions.
Step-by-step explanation:
Y=5x+1
-5x+Y=1
substitute value of y in first equation (5x+1) into 2nd equation
-5x+5x+1=1
0+1=1
1=1
since answer equals on both sides of the equatio, the answer is determined to be infinite.
36 inches of rope will be left because 6*8 is 48 and you subtract 48 from 84 to get 36.
Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
