It will be right angle triangle. The two vectors beginning at the same vertex
of a triangle are <2,3> and <-3,2> is classified as right-angled
triangle. It is classified as a right-angled triangle because the dot product
of the vectors are 0.
Answer:
$3200
Step-by-step explanation:
The total area of land is 30 acre. Let x represent the area in acre that corn is planted and y represent the area in acre that wheat is planted. Therefore:
x + y = 30 (1)
Also, the farmer can spend at most $750 on seeds. Corn cost $15 per acre, maize cost $30 per acre. Hence:
15x + 30y ≤ 750 (2)
Also, x and y > 0
The profit is given by the function:
Profit = 100x + 110y
Graphing equation 1 and equation 2 and solving, we get the points:
(10, 20)
Hence the maximum profit is at:
Max profit = 100(10) + 110(20) = $3200
Answer:
V2/V1 = c2/c1
V/4.8 = 50/40
V = 4.8 *5/4
V = 1.2*5 = 6 L
Step-by-step explanation:
Answer:
It is actually less than 10.
Step-by-step explanation:
Answer:
(4, 5 )
Step-by-step explanation:
x + y = 9 → (1)
x - y = - 1 → (2)
adding the 2 equations term by term will eliminate y
2x + 0 = 8
2x = 8 ( divide both sides by 2 )
x = 4
substitute x = 4 into either of the 2 equations and solve for y
substituting into (1)
4 + y = 9 ( subtract 4 from both sides )
y = 5
solution is (4, 5 )
