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3 years ago

Expand and simplify (x-2)(x-2)(x-3)

1 answer:

6 0

$(x-2)(x-2)(x-3)$
$(x-2)^{2}(x-3)$
$x^{2} +2x*(-2)+(-2) ^{2})(x-3)$
$( 4+x^{2}+(-4)x)(x-3)$
$( x^{2} -4x+4)(x-3)$
$x^{3} - x^{2} *3-4xx+4x*3+4x-12$

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When adding fractions does the denominator stay the same?

hodyreva [135]

Answer: yes

Step-by-step explanation:

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3 years ago

a sequence has a first number of 3 and a half common difference of 4 what is the recursive rule of nth term

ELEN [110]

Answer:

$f(n) = f(n-1) + 8$ for $n > 1$

Step-by-step explanation:

Given

$f(1) = 3$ -- First Term

$\frac{1}{2}d = 4$ --- half common difference

Required

Find the recursive rule

First, we calculate the common difference

$\frac{1}{2}d = 4$

Multiply through by 2

$2 * \frac{1}{2}d = 2 * 4$

$d = 8$

The second term of the sequence is:

$f(2) = 3 + 8 = 11$

The third term is:

$f(3) = 11 + 8 = 20$

So, we have:

$f(1) = 3$

$f(2) = 3 + 8$

Substitute f(1) for 3

$f(2) = f(1) + 8$

Express 1 as 2 - 1

$f(2) = f(2-1) + 8$

Substitute n for 2

$f(n) = f(n-1) + 8$

Similarly:

$f(3) = 11 + 8$

Substitute f(2) for 11

$f(3) = f(2) + 8$

Express 2 as 3 - 1

$f(3) = f(3-1) + 8$

Substitute n for 3

$f(n) = f(n-1) + 8$

Hence, the recursive is:

$f(n) = f(n-1) + 8$ for $n > 1$

8 0

3 years ago

Please break this up:<br> a^2-b^2-4b-4

hoa [83]

(a + b) (a-b ) - 4b - 4

<u>Explanation:</u>

Given:

a² - b² - 4b - 4

(a + b) (a-b ) - 4b - 4

This equation cannot be solved further.

Thus, the equation is (a + b) (a-b ) - 4b - 4

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3 years ago

You are standing 16 feet from a circular swimming pool the distance from you to a point of tangency is 25 feet. what is the appr

QveST [7]

Https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.859243.ht...

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3 years ago

Find the distance between the points (-3,-2) and (-1,-2)

Usimov [2.4K]

Hi there! So you have -3 and -1 as the x coordinates. Just forget about the negatives and make them positive. The answer will be the same. So 3-1 because difference means subtract. 2. 2 is the x coordinate. Same with the y coordinate. Drop the negative. 2-2=0. So your y coordinate is 0. So the final answer is (2,0). Let me know if you still don't understand :)

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3 years ago