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3 years ago

A rectangle is 12 ft long and 34 ft wide. What is the area of the rectangle?

Mathematics

2 answers:

expeople1 [14]3 years ago

5 0

408 sq ft (have to do Length times width)

aksik [14]3 years ago

4 0

A=Lw
The area is 12*34, 408 sq ft.

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The length of the football field is 10x+10 and the width is 4x+20. Write a polynomial that represents the are of the football fi

Maurinko [17]

The solution is in the attachment

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3 years ago

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

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3 years ago

Determine f^-1(2) given the following: f(1 = -3f(2) = -2f(-1) = 2f(3) = -1

lana [24]

We assume that the function is as follows:

$f^{-1_{}}(2)=?$

Then, we have that:

$f^{-1}(x)=\frac{1}{f(x)}$

Thus, if we have that:

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Therefore, the value for the function is f^-1(2) = -1/2 or

$f^{-1}(2)=-\frac{1}{2}$

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8 months ago

Answer both questions if u cant see all the answers it don't matter all u need is the question

babymother [125]

First one is 7.73 (23.19/3)
Second one is 14.04 ((19.71/7.3) x 5.2)

6 0

2 years ago

Read 2 more answers

A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet

attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a= 145ft ,

b = 257ft ,

c = 290ft

<u>calculate the area of the base </u>

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

= ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}$

= 18617.66 ft^2

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2 years ago