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3 years ago

What is the distance between the points (11 , -17) and (-11 , -17) in the coordinate plane?

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

Answer:

22 units

Step-by-step explanation:

11 - (-11) = 22

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Which figures have perpendicular sides

ki77a [65]

A) shape A and B only

4 0

3 years ago

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

2 years ago

−2x (x + 5 ) for x = −3

ValentinkaMS [17]

Answer:

Step-by-step explanation:

(-2)(-3)(-3+5)

6(2)

Merry Christmas :)

4 0

3 years ago

Y is equal to the additive inverse of 4x. Use this information to find the value of the expression 17x + 3y in terms of x.

nevsk [136]

Answer:

Step-by-step explanation:

The additive inverse of a function is that value added that will sum it up to zero

If y is the additive inverse of 4x, then y = -4x

Given the expression 17x+3y

Substitute y = -4x into the expression to have;

17x + 3(-4x)

17x -12x

Hence the value of the expression in terms of x is 5x

5 0

3 years ago

Write a number with three decimal places greater than 4.74 and less than 4.75

padilas [110]

4.741

4.742

Really, you could stick any digit from 1-9 at the end of 4.74 to create your answer.

7 0

3 years ago