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solmaris [256]
4 years ago
7

Please answer ASAP!

Mathematics
2 answers:
sashaice [31]4 years ago
7 0

Answer:

6,928

Step-by-step explanation:

I took the test and got it correct

iren [92.7K]4 years ago
4 0
Maybe, 150-100=50 on each triangular side. 50*height(80)=4000 divided by 2=2000. 2000 *'s 2, since we have to count the other side. Now, we have 100 left. so top of rectangle,(48 ft) times what's left of height. 48*(80-64=16) 16=768. Which covers the width of the big column, (48) and leftover height. Next, we find out the 2 left columns, one on each side of rectangle. Find area of rectangle, (what's left) 100. 100*80=800. 800- area of rectangle. Area of rectangle= 3072. Almost lastly, 4000 plus 800= 4800, then, 4800-3072=1728. I believe that the correct answer for the area of the lawn is 1,728 feet.
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Find the values of x, y, and λ that satisfy the system of equations. Such systems arise in certain problems of calculus, and λ i
Nimfa-mama [501]

Answer:

x=4, y=4, λ=-16

Step-by-step explanation:

We have this 3x3 system of linear equations:

4x+λ=0

4y+λ=0

x+y=8

So, let's rewrite the system in its augmented matrix form

\left[\begin{array}{cccc}4&0&1&0\\0&4&1&0\\1&1&0&8\end{array}\right]

Let´s apply row reduction process to  its associated augmented matrix:

Swap R1 and R3

\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\4&0&1&0\end{array}\right]

R3-4R1

\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&-4&1&-32\end{array}\right]

R3+R2

\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&0&2&-32\end{array}\right]

Now we have a simplified system:

x+y+0=0

0+4y+λ=0

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Solving for λ, x, and y

λ=-16

x=4

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