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Oliga [24]
3 years ago
8

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<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
−2x (x + 5 ) for x = −3
ValentinkaMS [17]

Answer:

12

Step-by-step explanation:

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

6(2)

12

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:

<h3>5x</h3>

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

5x

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
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