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2 years ago

is the following statement sometimes,always or never true?negative - positive =negative defend your answer

1 answer:

7 0

It is always negative, because it keeps going down on the number line. Say it is negative 8 minus 5, it would be negative 13, because it adds to the negatives, so it would go deeper into the negatives.

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Helps plz and no links

Vaselesa [24]

Answer:

1+2+3- -9+236359

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

PLS HELP ASAP. NO LINKS <br> When z= 9, the value of z2 + 1 is

elena55 [62]

Answer is 82

substitute z for 9

9^2 = 81+ 1= 82

6 0

2 years ago

Find the value of X <br><br>Anyone think they can help me with this?

ratelena [41]

Answer:

x = 15

Step-by-step explanation:

The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.

Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.

3 0

3 years ago

Help! Please show work so I can fully understand.

harina [27]

Check the picture below.

make sure your calculator is in Degree mode.

7 0

3 years ago