Answer:
11+2i=9
Step-by-step explanation:
<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:
C
Step-by-step explanation:
The line on the left has equation y = x - 2
The start of the line has an open circle at x = 3 meaning that x ≠ 3
The line is defined as y = x - 2 for x < 3
The line on the right has equation y = x - 1
The start of the line has a closed circle at x = 3 meaning that x can equal 3
The line is defined as y = x - 1 for x ≥ 3
Thus the definition of the function is C
<em><u>The inequality is:</u></em>
Membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount
<em><u>Solution:</u></em>
Given that,
A pool charges $4 each visit or you can buy a membership
Let "n" be the number of times you visit the pool
Let the membership amount of the pool be "m"
A pool charges $4 each visit
Therefore, cost for "n" visit is: $ 4n
<em><u>The inequality showing that a membership is less expensive than paying each visit to the pool is:</u></em>
4n > m
Divide both sides by "4"
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount
Answer: The length of each side is 7 yards.
Step-by-step explanation: To solve the perimeter, you add each of the sides. A square has 4 sides of equal length. Divide 28 yards by 4 yards. Therefore, the answer is 7 yards per side.
