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Alja [10]
1 year ago
7

If (a^3+27)=(a+3)(a^2+ma+9) then m equals

Mathematics
1 answer:
Ronch [10]1 year ago
7 0

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

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Last Saturday, there were 1486 people at the Cineplex. There were about the same number of people in each of the 6 theaters. Bet
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How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFrac
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2 years ago
Read 2 more answers
Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so s
qwelly [4]

Answer:

Annie walked 1 11/12 miles

Step-by-step explanation:

Trail= 4 1/2 miles

Annie ran the first 2/3 miles

Remaining miles= Total miles - Miles covered first

= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

= 23/6 miles

Remaining miles = 23/6 miles

Annie walked for 1/2 of the remaining distance

1/2 of the remaining miles= 1/2 × 23/6

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5 0
1 year ago
If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9
Dafna11 [192]

Answer: The value of x- 2y is a. \pm 3.

Step-by-step explanation:

Given:  x and y are two positive real numbers such that x^2+4y^2=17   and xy= 2 .

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=x^2-4xy+4y^2

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Put  x^2+4y^2=17   and xy= 2 , we get

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Taking square root on both sides , we get'

x-2y= \pm3

Hence, the value of x- 2y is a. \pm 3.

7 0
1 year ago
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