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4 years ago

Multiply each polynomial 1.). (x+5)(x+4) 2.). (x-7)(x-4)

Mathematics

1 answer:

bija089 [108]4 years ago

8 0

Answer:

1)x^2+9x+20

2)x^2-11x+28

1) explaination:x*x+4x+5x+5*4=)x^2+9x+20

2 explaination: x*x+-4*x+-7*x+-7*-4=)x^2-11x+28

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Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to

viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

$[70-(\pi )x -x]$

Length = $[70-(1+\pi )x]/2$

Total area =

area of rectangle + area of the semi-circle.

Total area =

$x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2$

When we square it we would have

$70x +[(\pi /4)-(1+\pi)]x^2$

This gives

$70x - [3.3562]x^2$

From here we divide by 2

$35x - 1.6781x^2$

The maximum side would be at

$x = 35/2*1.6781$

This gives us 20.8569

Read more on areas and dimensions here:

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7 0

2 years ago

Find the product and fill in the blanks to write in standard complex number form

k0ka [10]

X^2 +2x +10 = 0

D = 4 -40 = - 36

x_1,2 = (-2 +/- sqrt(-36))/2 = (-2 +/- 6i)/2 = 2(-1 +/- 3i)/2 = -1 +/- 3i

x_1,2 = -1 +/- 3i or more understandably

x_1 = -1 -3i and x_2 = -1 +3i

hope this will help you

3 0

3 years ago

Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?

Readme [11.4K]

Answer:

Yung bought 46 pieces of bubble gum for $4.6

Explanation:

We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums

To get the number of gums he bought, we will simply use cross multiplication as follows:

1 piece .........................> 0.1

x pieces ......................> 4.6

Therefore:

$x = \frac{4.6*1}{0.1}= 46$ pieces of gum

Hope this helps :)

4 0

3 years ago

Read 2 more answers

The mayor of the city of San Diego wants to increase taxes to invest in a modern transit system. She hires a polling agency to s

sasho [114]

Answer:

Step-by-step explanation:

Part A: What is the population in this survey?

The population in this context is the total number of registered voters in the whole city of San Diego.

Part B: What is the population parameter

The population parameter in this survey is the maximum percentage increase in municipal taxes that they would approve.

Part C: What is the sample in this survey?

The sample in this survey is the randomly selected 650 registered voters in the city.

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3 years ago

Match each geometric figure on the left with its definition on the right.

Pepsi [2]

Answer:

Step-by-step explanation:

3 0

4 years ago