First we need to find the gradient of K
which is y1-y2/x1-x2
(-1,3) and (5,-2)
so it becomes 3-(-2)/-1-5
m=-5/6
when two lines are perpendicular their gradients multiply to make -1
that means the gradient of L has to be 6/5
we can substitute the point on L (5,-2) and the gradient of 6/5 into y=mx+c
-2 = (6/5) x 5 + c
c = -8
the equation of line L is y= 6x/5 -8
Answer:
The answer to your question is There were sold 166 adult tickets and 294
children tickets.
Step-by-step explanation:
Data
Total number of seats = 460
cost for adults = a = $52
cost for children = c = $26
Total cost = $16276
Process
1.- Write equations to solve this problem
a + c = 460 Equation l
52a + 26c = 16276 Equation ll
2.- Solve the system of equation by substitution.
-Solve equation l for a
a = 460 - c
-Substitute a in equation ll
52(460 - c) + 26c = 16276
-Expand
23920 - 52c + 26c = 16276
-Simplify
-26c = 16276 - 23920
-26c = -7644
c= -7644/-26
c = 294
3.- Find a
a = 460 - 294
a = 166
Tax = 7.65% of $23, 750
Tax = 0.0765 x 23750
Tax = $1816.88 (nearest hundredth)
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Rachel needs to pay $1816.88 for FICA tax
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Answer:
The volume of the concrete needed to make the block is 5054 ft³
Step-by-step explanation:
The question relate to the calculation of the volume of a shape
The dimensions of the block are;
The depth of the block, d = 19 ft.
The width of the block, w = 19 ft.
The length of the block, l = 14 ft.
The volume of a cube, V = Length, l × Width, w × Depth, d
Therefore, the volume, 'V' of a cubic block is given as follows;
V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³
The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.
