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cupoosta [38]
2 years ago
15

I need the answer asap

Mathematics
1 answer:
Anna71 [15]2 years ago
5 0

Answer:

it's B

Step-by-step explanation:

the easiest why to tell is that, the slope intercept form y=mx+b is the form the equations are b is the y-intercept. If you look at the graph it crosses y at +16 not -16

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Yes!

Step-by-step explanation:

If not people won't understand the concept of the problem you are working on. Hope this helps please reward me brainlist!!!

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If you can, please tell how you solved
gizmo_the_mogwai [7]

Answer:

plzz mark me brainlieat if it helps you

x+67 + x+127 = 180

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2 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
The Jones family had two gallons of milk before breakfast. The family used two quarts of milk during breakfast. How many quarts
mixer [17]

Answer:

2

Step-by-step explanation:

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