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lesya [120]
3 years ago
14

Factorize (x-3y)^3+27y^3 With explanation Will mark Brainliest for the best one...

Mathematics
1 answer:
drek231 [11]3 years ago
7 0
Use the identity: a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Replace b^3 by 27y^3
x^3 + 27b^3 = (x + 3y)(x^2 - 3xy + 9y^2)
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A circle is centered at Q(1,-5) and has a radius of 5. Where does the point Y(4,-1) lie?
marta [7]

Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

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3 years ago
What is measure of Arc AC if the m ∠BAC = 28°?
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14 degrees.  It equals half the intercepted arc.
(See attached graphic)


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4 years ago
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Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan. Ho
Stels [109]

Answer:

Ben is 19 Ishaan is 7

Step-by-step explanation:

7 0
3 years ago
The students in Mr. Perez’s math class sit in sections of the classroom. There are 9 students in 14 of the classroom.
Vladimir [108]
3/7 is the fraction hope this helped
5 0
3 years ago
Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
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