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melomori [17]
3 years ago
12

The slope of the line 5x – y = 12 is

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
The slope would be 5
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A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where
marta [7]

Answer:

Height =3

Step-by-step explanation:

Given

Length = x + 2

Width = x - 2

Height = x

Volume = 15

Required

Find the height

The volume is calculated as thus:

Volume = Length * Width * Height

This gives

15 = (x + 2) * (x - 2) * x

Apply difference of two squares

15 =(x^2 - 4 ) * x

15 = x^3 - 4x

Subtract 15 from both sides

x^3 - 4x - 15 = 0

Using a calculator to factorize, we have:

(x-3)(x^2+3x+5) = 0

Split

x - 3 = 0 or x^2 + 3x + 5 = 0

x = 3 or  x^2 + 3x + 5 = 0

x has complex roots for x^2 + 3x + 5 = 0

Hence:

x = 3

Recall that:

Height = x

Height =3

3 0
3 years ago
Prompt<br> Describe a simulation used to determine a game of darts.<br><br> Plzzzzz help???
UkoKoshka [18]

Answer:

Anonymous simulation would be used to determine a game of darts.

5 0
3 years ago
If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi. one whole side is 28 in
morpeh [17]
<em>What you need to find is the extra amount of plywood. To do that, you must find the area of the square and the area of the circle and subtract them to find the answer.</em>

Formulas:
area of a square: A = bh
area of a circle: A = \pi r^2

square measurements:
b = 28
h = 28

circle measurements:
\pi (≈3.14)
r = 14 

A = (28)(28)
A = 784
area of square = 784 in^2

A = 3.14 (14^{2})
A = 3.14 (196)
A = 615.44 in^2

784 - 615.44 = 168.56
The amount of plywood left over is 168.56 in^2.

6 0
3 years ago
Thank you for helping me :D
Aleonysh [2.5K]
The answer is both sets of statistics give the same information:

First, find the mean: 2 • 5 = 10, 3 • 4 = 12, and 10 • 1 = 10

10 + 12 + 10 = 32

Ten dots altogether : 32 ÷ 10 = 3.2

Mean = 3.2

Second, find the median: 2, 2, 2, 2, 2, 3, 3, 3, 3, 10

2, 2, 2, 2, <em>2, 3,</em> 3, 3, 3, 10

2 + 3 = 5

5 / 2 = 2.5

Median - 2.5
3 0
3 years ago
EASY! PLS HELP!
Ludmilka [50]

Answer:

5:8

Step-by-step explanation:

Fishing to Reading

5 : 8

6 0
3 years ago
Read 2 more answers
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