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3 years ago

Need help on 2 plz I can't understand it

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

-3 1/2
-7/8(change) * 4(days)= -3 1/2 or -3.5

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Find m∠4 if m∠1 = 100°

podryga [215]

Answer:

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3 years ago

Three times the perimeter of a triangle is the same as 75 decreased by twice the perimeter. What is the perimeter of the triangl

kupik [55]

Solution
let p be the perimeter of the triangle then
3p=75-2p collect the like terms
3p+2p=75
5p=75 divide both side by 5
5p/5=75/5⇒p=15.
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4 years ago

Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide. One foot of the fence costs $43.

Inessa [10]

Answer:

The expression would be 43x + 128

Step-by-step explanation:

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3 years ago

Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, d = {(x, y)| x2 + y2 ≤ 1}. use the method of lagr

Pani-rosa [81]

First we note that the partial derivatives vanish simultaneously at one point:

$\begin{cases}f_x=2x+y=0\\f_y=x+2y=0\end{cases}\implies(x,y)=(0,0)$

so there is one critical point within the region $D$ .

The Lagrangian is

$L(x,y,\lambda)=x^2+xy+y^2+\lambda(x^2+y^2-1)$

and has partial derivatives

$L_x=2x+y+2\lambda x$
$L_y=x+2y+2\lambda y$
$L_\lambda=x^2+y^2-1$

Set each partial derivative to 0 to find the possible critical points within the disk $D$ . Then we notice that

$yL_x=2xy+y^2+2\lambda xy=0$
$xL_y=x^2+2xy+2\lambda xy=0$
$L_\lambda=0\implies x^2+y^2=1$

$\implies xL_y-yL_x=x^2-y^2=0$

Since $x^2+y^2=1$ , we have

$x^2-y^2=x^2+y^2-2y^2=0\implies1=2y^2\implies y^2=\dfrac12\implies y=\pm\dfrac1{\sqrt2}$

And since $x^2-y^2=0$ , or $x^2=y^2$ , we also have

$x=\pm\dfrac1{\sqrt2}$

So we have four possible additional critical points to consider:

$f(0,0)=0$
$f\left(-\dfrac1{\sqrt2},-\dfrac1{\sqrt2}\right)=\dfrac32$
$f\left(-\dfrac1{\sqrt2},\dfrac1{\sqrt2}\right)=\dfrac12$
$f\left(\dfrac1{\sqrt2},-\dfrac1{\sqrt2}\right)=\dfrac12$
$f\left(\dfrac1{\sqrt2},\dfrac1{\sqrt2}\right)=\dfrac32$

It should be clear enough which of these correspond to the absolute extrema of $f$ over $D$ .

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3 years ago

Simplify the expression3х + 8 + 13x =

leva [86]

Answer:

8(2x+1)

Step-by-step explanation:

First we add

16x + 8

Next take GCF

8(2x+1)

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3 years ago