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QveST [7]
3 years ago
11

Please helpppppppppp

Mathematics
2 answers:
VikaD [51]3 years ago
4 0

Answer:

A = 6k^2 + 36

Step-by-step explanation:

6k^2 - 36k k^2 + 12k + 36

--------------- × -------------------- = 1

A k^2 - 36

6k ( k - 6) ( k + 6) ( k + 6)

--------------- × --------------------- = 1

A (k - 6) (k +6)

6k ( k + 6)

-------------- = 1

A

When cross multiplied:

A = 6k ( k + 6)

A = 6k^2 + 36

user100 [1]3 years ago
4 0

The answer is a=6k(k+6)

<u>Step-by-step explanation:</u> use Square of Sum (a+b)^2=a^2+2ab+b^2 and use Difference of Squares a^2-b^2=(a+b)(a-b).

\frac{6k^2-36k}{a}*\frac{k^2+12k+36}{k^2-36} =1 factor out the common term 6k

\frac{6k(k-6)}{a}*\frac{k^2+12k+36}{k^2-36}=1\\\\\frac{6k(k-6)}{a}*\frac{k^2+2(k)(6)+6^2}{k^2-36}=1 use Square of Sum then Difference of Squares

\frac{6k(k-6)}{a}+\frac{(k+6)^2}{(k^2-36)} =1\\\\\frac{6k(k-6)}{a}+\frac{(k+6)^2}{(k+6)(k-6)} =1\\\\ cancel k-6 then use the rule a/b*c/d=ac/bd

\frac{6k}{a}*\frac{(k+6)^2}{k+6} =1\\\\\frac{6k(k+6)^2}{a(k+6)} =1\\\\\frac{6k(k+6)}{a}=1\\\\6k(k+a)=a\\\\a=6k(k+6)

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

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To travel from New York to Philadelphia at 50 mph, it takes 20 more minutes than to travel the same distance at 60 mph. Find the
Lana71 [14]

Answer:the distance between the two cities is 100 miles

Step-by-step explanation:

Let x represent the distance between New York and Philadelphia.

Let t represent the time it takes to travel from New York to Philadelphia at 50 mph

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time = distance/speed

To travel from New York to Philadelphia at 50 mph,

x = 50t

it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that

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Dr. Who owns a phone booth worth $7,500, which, for tax purposes, is assumed to depreciate linearly to zero over a 15 year perio
Alenkasestr [34]

Answer:

a. y = 7500 - 500x

b. $ 4,500

Step-by-step explanation:

a. Given,

The original value of the phone = $ 75,00

Let the linear function that shows the value of booth after x years,

y = b - ax,

For x = 0 years, y = 7500

⇒ 7500 = b - a(0) ⇒ b = 7500

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Hence, the function that shows the value of car after x years,

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The value of the booth after 6 years would be,

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8 0
3 years ago
I just need help cause if I don’t I don’t know what imma do
erica [24]

Answer:

P(32) = \frac{1}{90}

P(Odd) = \frac{1}{2}

P(Multiples\ 5) = \frac{1}{5}

Step-by-step explanation:

Given

Sample Space = 10 to 99

First, we calculate the sample size (n)

n = 99 - 10 + 1

n = 90

Solving (a): P(32)

In 10 to 99, there is only 1 32.

So,

P(32) = \frac{n(32)}{n}

P(32) = \frac{1}{90}

Solving (b): P(Odd)

There are 45 odd numbers between 10 and 99

i.e.

n(Odd)  = 45

So:

P(Odd) = \frac{n(Odd)}{n}

P(Odd) = \frac{45}{90}

P(Odd) = \frac{1}{2}

Solving (c): P(Multiple of 5)

There are 18 multiples of 5 between 10 and 99

i.e

P(Multiples\ 5) = \frac{18}{90}

P(Multiples\ 5) = \frac{1}{5}

4 0
3 years ago
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