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Likurg_2 [28]
3 years ago
6

PLZZZZ HURRY ILL GIVE BRAINLEST POINTS PLZZZZ I NEED A 100% ON THIS TEST

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

y=2/3x-1 is 3/2

y=-2/3x-1 is x=3/2

y=-3/2x-1 is x= 2/3

Step-by-step explanation:

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Is 56 ft, 65 ft, 16 ft a right triangle
Debora [2.8K]
No, it isn't a right triangle.
7 0
3 years ago
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Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y z = 1
Varvara68 [4.7K]
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be x+y+z=1.

You're minimizing d(x,y,z)=\sqrt{(x-4)^2+y^2+(z+5)^2} subject to the constraint f(x,y,z)=x+y+z=1. Note that d(x,y,z) and d(x,y,z)^2 attain their extrema at the same values of x,y,z, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.

The Lagrangian is

L(x,y,z,\lambda)=(x-4)^2+y^2+(z+5)^2+\lambda(x+y+z-1)

Take your partial derivatives and set them equal to 0:

\begin{cases}\dfrac{\partial L}{\partial x}=2(x-4)+\lambda=0\\\\\dfrac{\partial L}{\partial y}=2y+\lambda=0\\\\\dfrac{\partial L}{\partial z}=2(z+5)+\lambda=0\\\\\dfrac{\partial L}{\partial\lambda}=x+y+z-1=0\end{cases}\implies\begin{cases}2x+\lambda=8\\2y+\lambda=0\\2z+\lambda=-10\\x+y+z=1\end{cases}

Adding the first three equations together yields

2x+2y+2z+3\lambda=2(x+y+z)+3\lambda=2+3\lambda=-2\implies \lambda=-\dfrac43

and plugging this into the first three equations, you find a critical point at (x,y,z)=\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right).

The squared distance is then d\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right)^2=\dfrac43, which means the shortest distance must be \sqrt{\dfrac43}=\dfrac2{\sqrt3}.
7 0
3 years ago
Please please help me I need help Ill give brainy please help
zzz [600]

Answer:

45 cm

Step-by-step explanation:

l=\sqrt{r^2+h^2}=\sqrt{27^2+36^2} =45 cm

7 0
3 years ago
Help needed pleaseee
ohaa [14]

Answer:

A

Step-by-step explanation:

Since we're dealing with perpendicular lines, we take the recipricol of the m value of the original equation.

So the slope we're dealing with is 1/2.

And the equation we have so far is

y = 1/2x + b

Now we solve for b by plugging in the point (4,2).

2 = 1/2(4) + b

2 = 2 + b

b = 0

So the final equation is

y = 1/2x

8 0
3 years ago
1.The base length of a rectangle is multiplied by 8. How does this affect the area?
earnstyle [38]

Answer:

2x bigger

Step-by-step explanation:

because if you split the rectange in half, it would be 2x?

3 0
3 years ago
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