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3 years ago

Choose the model that represents the function shown

Mathematics

1 answer:

MatroZZZ [7]3 years ago

5 0

Where is the picture? So I can help

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

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3 years ago

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Just do these two problems for me and I’ll be so happy

sveticcg [70]

5. y = x + 7
6. y = -x + 1

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2 years ago

PLEASE HELP! It’s an EASY question, I’m just burned out. THANK YOU!!!!!!!!!

andrey2020 [161]

It is an easier and faster way to write an equation for the slope of a line if you already have its points and slope.

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3 years ago

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(12x - 30) = (2x - 5)

zzz [600]

Answer:

x = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

12x - 30 = 2x - 5

Step 2: Solve for x

Subtract 2x on both sides: 10x - 30 = -5
Add 30 to both sides: 10x = 25
Divide 10 on both sides: x = 5/2

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2 years ago

Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds

Westkost [7]

Answer:

Margot gets from A to B faster

Step-by-step explanation:

Alan takes 2 hr and 35 min = 2. 58... hr

Margot takes 147/64 hr = 2.296.. hr

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3 years ago