What is the slope of the line?

Plz Help fast!!

bogdanovich [222]

The answer is B

Hope this helps :)

4 0

3 years ago

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Solve each equation. 1. 25 - 3x = 40 2. } (x – 10) = -4

nordsb [41]

Step-by-step explanation:

For no 1

25 - 3x = 40 

- 3x = 40 - 25 

- 3x = 15 

 - x = 15 / 3

Therefore x = - 5 

Now for no. 2

1/3 ( x - 10) = - 4 

( x - 10 ) = - 12 

x = - 12 + 10

Therefore x = - 2 

Hope it will help :)

6 0

3 years ago

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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 L=160m and W=76800/160=480m

and we're done!

3 0

3 years ago

Use the discriminate to determine the number and the nature of the solutions of the giving equation.

PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4 b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0

3 years ago

Find the area of this circle. Use 3 for T. A = r2 10 ft [?] ft2

goldfiish [28.3K]

Step-by-step explanation:

Area of circle =πr²

3×5×5
75ft²

<h2>stay safe healthy and happy.</h2>

5 0

3 years ago

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