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Vladimir [108]
3 years ago
13

Is -55/11 equal to -5

Mathematics
1 answer:
Allisa [31]3 years ago
6 0
Answer:
-55/11 = -5 True
-55/-11 = -5 False -55/-11 = 5
55/-11 = -5 True
-(-55/-11) = -5 True
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Which one is correct? Please hurry
Anuta_ua [19.1K]
45 is the answerrrrrrrrrrrrrr!!!!
7 0
3 years ago
Find the slope of the line that goes through (0, 2) and (4, −2).
zmey [24]
M = (y2 - y1) / (x2 - x1) 

m = (-2 - 2) / (4 - 0) 

m = -4 / 4

m = -1 

The slope of the line that goes through (0, 2) and (4, -2) is -1. 
5 0
3 years ago
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Find the minimum and maximum of f(x,y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8.
Alika [10]
The Lagrangian for this function and the given constraints is

L(x,y,z,\lambda_1,\lambda_2)=x^2+y^2+z^2+\lambda_1(x+2y+z-4)+\lambda_2(x-y-8)

which has partial derivatives (set equal to 0) satisfying

\begin{cases}L_x=2x+\lambda_1+\lambda_2=0\\L_y=2y+2\lambda_1-\lambda_2=0\\L_z=2z+\lambda_1=0\\L_{\lambda_1}=x+2y+z-4=0\\L_{\lambda_2}=x-y-8=0\end{cases}

This is a fairly standard linear system. Solving yields Lagrange multipliers of \lambda_1=-\dfrac{32}{11} and \lambda_2=-\dfrac{104}{11}, and at the same time we find only one critical point at (x,y,z)=\left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right).

Check the Hessian for f(x,y,z), given by

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite, since \mathbf v^\top\mathbf{Hv}>0 for any vector \mathbf v=\begin{bmatrix}x&y&z\end{bmatrix}^\top, which means f(x,y,z)=x^2+y^2+z^2 attains a minimum value of \dfrac{480}{11} at \left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right). There is no maximum over the given constraints.
7 0
3 years ago
I need help on this please asap.
WARRIOR [948]

d=rt

divide by r on both sides

d/r = t

300/60 =t

5=t

t=5 hours

d=rt

d/t =r

250/4.5 =r

55.5555555=r

55 5/9  miles per hour

7 0
3 years ago
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Which of the following could identify the transformation of a parabola with a vertex (-4,-6) to parabola with a vertex (1,-6)?
choli [55]
Hello,

2 possibilties:
1) a translation to the right of 5 (both parabolas are turning upward)
2) a central symetry( center is (-1.5,-6)
parabolas does not have the same direction upward and downward.
3 0
3 years ago
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