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fiasKO [112]
3 years ago
15

The following equation is true for all real values of k for which the expression on the left is defined, and A

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1

\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = \frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}

A = 6k(k + 6)

Therefore, value of A is 6k(k + 6).

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Answer:

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Step-by-step explanation:

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What are 2 possible values for x where x ≥ 6?
seropon [69]

Answer:

6-7-8-9-10-11-12-13-14-15 etc...

Step-by-step explanation:

any number that is equal to 6 or greater than 6 is a possible value for x.

5 0
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Simplify sin q + cosq cotq.
IRINA_888 [86]
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3 years ago
An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is
Mice21 [21]

Answer:

Option A is correct.      

Step-by-step explanation:

Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.

From the figure attached , we can see an isosceles trapezoid ABCD,

AB = 8cm and CD=14cm

So we have to find the value of AE which is the height of Trapezoid in order to find area.

In ΔAED

tan\angle 45 =\frac{AE}{ED}

⇒ AE=1\times 3

∴ AE = DE =3cm

\text{The area of the trapezoid=}\frac{h}{2}\times (a+b)

h=3cm, a=14cm, b=8cm

Area=\frac{3}{2}\times(14+8)=\frac{3}{2}\times 22=33 units^2

hence, \text{The area of the trapezoid is }33 units^2

Option A is correct.

3 0
3 years ago
Read 2 more answers
Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and hands out 12 advertise
lawyer [7]

Answer:

n = 5,000 - 12t ​

Step-by-step explanation:

Sam is handing out advertisements for an upcoming event.

No of advertisements = 5000

No of advertisements per minute is 12.

We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.

5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :

n = 5,000 - 12t ​

Hence, the correct option is (d).

7 0
3 years ago
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