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3 years ago

10

What is 6x + 10 = 6x + 21

2 answers:

Andre45 [30]3 years ago

8 0

The answer is no
Solution

Akimi4 [234]3 years ago

5 0

Answer:

<u>no solution</u>

Step-by-step explanation:

6x + 10 = 6x + 21

<em>combine like terms</em>

6x - 6x = 21 - 10

<em>combine like terms</em>

0 $\neq$ 11

<u>no solution</u>

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0

2 years ago

Use the net as an aid to compute the surface area of the triangular prism. A) 112 m2 B) 136 m2 C) 160 m2 D) 184 m2

Aloiza [94]

Answer:

136 m2 Option c

Step-by-step explanation:

136 m2

1 base = 6 × 7 = 42

2 sides = 2(7 × 5) = 70

2 triangles = 2(6 × 4

2

) = 24

SA = 42 + 70 + 24 = 136 m2

7 0

3 years ago

Read 2 more answers

Anyone have any idea what the pattern may be? Need help ASAP!

Anna007 [38]

Answer:

21, 34, 55

Step-by-step explanation:

13+8=21

21+13=34

34+21=55

4 0

2 years ago

The number 0.0002 is 1/10 of

Ratling [72]

Answer:

I think it is 0.002

6 0

2 years ago

Read 2 more answers

System of Equations <br> Need help<br> Trig

Yanka [14]

Looks like the system is

$\begin{cases}-2x+y+6z=1\\3x+2y+5z=16\\7x+3y-4z=11\end{cases}$

We can eliminate $y$ by taking

$(3x+2y+5z)-2(-2x+y+6z)=16-2(1)$

$\implies3x+2y+5z+4x-2y-12z=16-2$

$\implies7x-7z=14$

$\implies x-z=2$

so that $z=x-2$ , and

$(7x+3y-4z)-3(-2x+y+6z)=11-3(1)$

$\implies7x+3y-4z+6x-3y-18z=11-3$

$\implies13x-22z=8$

Substitute $z=x-2$ into this last equation and solve for $x$ :

$13x-22(x-2)=8$

$\implies13x-22x+44=8$

$\implies-9x=-36$

$\implies x=4$

Then

$z=x-2$

$\implies z=4-2$

$\implies z=2$

Plug these values into any one of the original equation to solve for $y$ :

$-2x+y+6z=1$

$\implies-2(4)+y+6(2)=1$

$\implies-8+y+12=1$

$\implies y=-3$

Hence the solution is x = 4, y = -3, and z = 2.

6 0

3 years ago