The coordinates give are
(0,6)
(4,9)
(3,6)
(2,3)
These points can be substituted into the systems of equation in the choices and inspect which equations satisfy the value of the points. Doing this, the answer is
3x - 4y = -24
3x - y = 3
Answer:
The slope of NP is 
⇒ B
Step-by-step explanation:
- In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular
- Parallel lines have the same slope
- The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is
(reciprocal m and change its sign)
- The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m =
In square MNPR
∵ MN and NP are adjacent sides
∴ MN ⊥ NP
∵ M = (3, 8) and N = (-2, 1)
∴ x1 = 3 and y1 = 8
∴ x2 = -2 and y2 = 1
→ Use the rule of the slope above to find the slope of MN
∴ m(MN) = 
∴ m(MN) = 
∴ m(MN) = 
∵ MN ⊥ NP
∴ The product of their slopes = -1
→ Reciprocal the slope of MN and change its sign
∴ m(NP) =
∴ The slope of NP is
Answer:
There is no unique solution to this problem.
There are infinitely many solutions to this problem.
Step-by-step explanation:
Let B denotes broccoli crop
Let S denotes spinach crop
Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.
Mathematically,
6B + 9S = 93 eq. 1
This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.
Mathematically,
2B + 3S = 31
2B = 31 - 3S
B = (31 - 3S)/2 eq. 2
Substitute eq. 2 into eq. 1
6B + 9S = 93
6[(31 - 3S)/2] + 9S = 93
3(31 - 3S) + 9S = 93
93 - 9S + 9S = 93
- 9S + 9S = 93 - 93
0 = 0
Therefore, there is no unique solution to this problem.
Which means that there are infinitely many solutions to this problem.
1 Pound is 0.453592 Kilograms
500 Pounds is 226.796 Kilograms
Hope i helped!
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