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2 years ago

Write a polynomial in standard form that represents the area of the shaded region.

Mathematics

2 answers:

trapecia [35]2 years ago

7 0

Answer:

p^2 - 2p - 3.

Step-by-step explanation:

The area of a triangle = 1/2 * base * height so here we have

Area = 1/2 (p + 1)(2p - 6)

= 1/2( 2p^2 - 6p + 2p - 6)

= 1/2 ( 2p^2 - 4p - 6)

= p^2 - 2p - 3.

Kamila [148]2 years ago

4 0

1/2•(2p-6)(p+1)
1/2•(2p^2+2p-6p-6)
1/2•(2p^2-4p-6)
p^2-2p-3

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Serga [27]

Answer:

so what is the question

Step-by-step explanation:

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8 0

2 years ago

The average price of gasoline in Paris, France, is 1.91 euros per liter. If there are 3.785 liters in one gallon, and the exchan

kirill [66]

Answer:

The price of gasoline in Paris is $6.00/gallon

Step-by-step explanation:

We are asked to find the price of gas in dollars per gallon for gasoline in Paris.

Step 1

We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.

Also we are told that, the exchange rate is 1.203 euros for one dollar

We convert the Euros to dollars

If, 1.203 euros = 1 dollar

1.91 euros = x dollars

We Cross Multiply

1.203 euros × x dollars = 1.91 euros × 1 dollar

x dollars = 1.91 euros × 1 dollar/ 1.203 euros

x dollars = 1.5876974231 dollars

Therefore, 1.203 euros = Approximately 1.59 dollars.

Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.

Step 2

We convert the from liter to gallon

In the question, we are told that:

If there are 3.785 liters in one gallon

Therefore, if

1 liter of gasoline = 1.59 dollars

3.785 liters of gasoline =

Cross Multiply

= 3.785 liters × 1.59

= 6.01815 dollars.

Approximately to the nearest whole number = 6.00 dollars.

Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon

7 0

3 years ago

the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.

Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

6 0

2 years ago

Find the diameter of a circle with an area of<br>95.03 square feet.<br>

ra1l [238]

For this case we have that the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle

By clearing the radio we have:

$r = \pm \sqrt {\frac {A} {\pi}}$

We take the positive value:

$r = \sqrt {\frac {A} {\pi}}\\r = \sqrt {\frac {95.03} {\pi}}\\r = 5.50 \ ft$

The diameter is twice the radius:

$d = 11$

Answer:

$11 \ ft$

7 0

3 years ago

Read 2 more answers

< The map below is being reduced by a scale factor of 2/3 and printed at

Orlov [11]

Answer:

Step-by-step explanation:

3 0

3 years ago