The slope of BC is 
Step-by-step explanation:
Let us revise some notes about slopes of lines
- If two lines are parallel, then their slopes are equal
- If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is
∵ ABCD is a rectangle
∵ AB // CD
∴ The slope of AB = the slope of CD
∵ BC ⊥ AB
∴ The slope of BC × the slope of AB = -1
∵ The slope of AB = 
- To find the slope of BC reciprocal the slope of AB and reverse its sign
∴ The slope of BC =
The slope of BC is
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Answer:
57 units^2
Step-by-step explanation:
First find the area of the triangle on the left
ABC
It has a base AC which is 9 units and a height of 3 units
A = 1/2 bh = 1/2 ( 9) *3 = 27/2 = 13.5
Then find the area of the triangle on the right
DE
It has a base AC which is 6 units and a height of 1 units
A = 1/2 bh = 1/2 ( 6) *1 = 3
Then find the area of the triangle on the top
It has a base AC which is 3 units and a height of 3 units
A = 1/2 bh = 1/2 ( 3) *3 = 9/2 = 4.5
Then find the area of the rectangular region
A = lw = 6*6 = 36
Add them together
13.5+3+4.5+36 =57 units^2
Convert to a mixed number:
239/42
Divide 239 by 42:
4 | 2 | 2 | 3 | 9
42 goes into 239 at most 5 times:
| | | | 5
4 | 2 | 2 | 3 | 9
| - | 2 | 1 | 0
| | | 2 | 9
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 |
| - | 2 | 1 | 0 |
| | | 2 | 9 | (remainder)
The quotient of 239/42 is 5 with remainder 29, so:
Answer: 5 29/42
Answer:
They sold 67.50 in total
Step-by-step explanation:
If each of them sold 15 boxes for 2.25 then both of them got 33.75 each then you add it and that gives you 67.50
Answer:
134 sneakers and 66 sandals
Step-by-step explanation:
Sneakers= x, sandals= y
Profit rate:
- sneakers: (10-2)/8= 25%
- sandals: (17-14)/14= 21.4%
Sneakers are more profitable, so it should be maximized.
Cost:
8x+14y≤2000
x+y≤200
if we assume the maximum of 200 shoes stocked, then:
x= 200-y
8(200-y)+14y ≤ 2000
1600 - 8y +14y ≤ 2000
6y≤400
y≤66 and x=134 is the best option
