<span>Distance from point (4,1,-1) to plane x-2y+2z+3 = 0 is 1.
The formula for the distance from a point to a plane is
d = abs(Ax + By + Cz + D) / sqrt(A^2 + B^2 + C^2)
where
d = distance
(x,y,z) = coordinates of point
A,B,C,D = coefficients of equation for the plane
For this problem, the values for A,B,C,and D are A=1, B=-2, C=2, and D=3. So substituting the known values into the equation, we get:
d = abs(1*x - 2*y + 2*z + 3) / sqrt(1^2 + (-2)^2 + 2^2)
d = abs(1*4 - 2*1 + 2*(-1) + 3) / sqrt(1 + 4 + 4)
d = abs(4 - 2 - 2 + 3) / sqrt(9)
d = abs(3) / 3
d = 1</span>
Answer:
the third fish weighs 1 2/5 pounds
Step-by-step explanation:
find common denominator for fraction which would be 15
fish 1=2 5/15
fish 2=1 9/15
fish1/2= 3 14/15
5 5/15- 3 14/15 =1 6/15
simplify to 1 2/5
The area at the top of the plate is 63 inches squared
Answer: A. Zero
Step-by-step explanation: If the quadratic equation is incomplete, b will always equal 0.
The answer is C) 58.5 sq. units
Just count the whole unit squares within the shape and estimate the partial ones and add them all together to get the estimated area of the irregular shape. There were 57 full squares and 3 halves for a total of 58.5 units.
