The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where the denominator is the bottom number in a fraction.
We should find the lowest common denominator of (p+3)/(p^2+7p+10) and (p+5)/(p^2+5p+6).
p^2+7p+10 can be written as a product: (p+5)(p+2)
p^2+5p+6 can be written as a product: (p+3)(p+2)
So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:(p + 5)(p + 2)(p + 3)
Solution C.

6 0

3 years ago

When the sum of two whole numbers is multiplied by the difference of the numbers the result is 85 if the difference of the two n

worty [1.4K]

Answer:

sum=17

Step-by-step explanation:

(a+b)*(a-b)=85

let a=11 and b=6

(11+6)*(11-6)=85

85=85

so the two whole numbers are 11 and 6

and, their sum is : 11+6= 17.

5 0

3 years ago

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Can someone help please I need this asap

son4ous [18]

Answer:

PART:A

$10_P_4=5040$

PART:B

$6_C_2=15$

PART:C

$6_C_2=15$

Step-by-step explanation:

PART:A

When the four officers are chosen than the number of ways of doing this is:

$10_P_4$

since we have to choose 4 officers and also they need to be arranged according to their ranks.

Hence, the numbers of ways doing so is:

$10_P_4=\dfrac{10!}{(10-4)!}\\\\=\dfrac{10!}{6!}\\\\=10\times 9\times 8\times 7\\\\=5040$

PART:B

Now we have to choose 2 members out of the remaining 6 members so the we have to use combination since we have to just choose the members and do not have to rank them or in short we can say we do not have to arrange them.

Hence, the number of ways doing this is:

$6_C_2=\dfrac{6!}{2!\times (6-2)!}\\\\=\dfrac{6!}{2!\times 4!}\\\\=15$

Hence, the number of ways of doing this is: 15.

PART:C

Now this process of doing so is also same as the above.

Hence, the number of ways of doing so is: 15.

8 0

3 years ago

Please help will give brainliest

DENIUS [597]

Answer:

A. 2, 84, 40

Step-by-step explanation:

x/3 = 8/12

x = 3*8/12 =24/12 = 2

56/y = 8/12

y = 56*12/8 = 7*12 = 84

8/12 = z/ 60

z = 8*60/12 = 40

6 0

3 years ago

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