Answer:
The coordinates of B are (-5, -1).
Step-by-step explanation:
You can make a linear relationship. Since AB is <em>1 unit down and 3 units to the left of</em> A, B must be <em>1 unit down and 3 units to the left of</em> AB.
When you are rounding numbers, if the integer to the right is <5, then you keep your rounding number. If it is >5, then you add 1 place value to your rounding number.
Therefore, if you are trying to round 4.125 to the nearest whole number, you are trying to round it to the ones place, or where the 4 is.
Because 1<5, 4.125 rounded to the nearest whole number is 4.
Answer:
131.95 cm
Step-by-step explanation:
The Formula for the circumference of a circle is πd where d is the diameter. Therefore you simply multiply 42 with PI to get the circumference
Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
Answer:
Step-by-step explanation:
= 3.16 units
