Answer:
square units
Step-by-step explanation:
We are given that two vectors
u=<3,2,1>
v=<1,2,3>
We have to find the area of parallelogram determined by the given vectors
We know that area of parallelogram determined by two vectors a and b
Using this formula
Area of parallelogram= square units
We know that this ratio is directly because the two magnitudes go up.
In this case we will get the <u>proportionality constant</u> by dividing any term of the second magnitude by the first.
<h3>For example: </h3>
Now that we know that k = 3, we can know how much "<u>y</u>" will be if <em>x = 5</em>.
We just multiply:
<h3>Answer: <u>y = 15</u></h3>
Answer:
6ft by 40ft
Step-by-step explanation:
Perimeter = 2(L+W)
Area = LW
L is the length of the fence
W is the width
Given
P = 68ft
A = 240ft²
Substitute into the formula
68 = 2L+2W ... 1
240 = LW... 2
From 1;
34 = L+W
L = 34-W ... 3
Substitute 3 into 2
From 2;
LW = 240
(34-W)W = 240
34W - W² = 240
- W²+34W = 240
W²-34W - 240 = 0
W²+6W-40W - 240 = 0
W(W+6)-40(W+6) = 0
W-40 = 0
W = 40feet
Since
34 = L+W
34 = L + 34
L = 6ft
Hence the dimension of the fence is 6ft by 40ft
8y-4x=2x+12y
x+2y+8y-4x=180
10y-3x=180
x+2y+2x+12y=180
14y+3x=180
24y=360
y=15
8(15)-4x=2x+12(15)
120-4x=2x+180
120=6x+180
-60=6x
x=-10