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3 years ago

What are the factors of m2 – 6m + 6m – 36? (m – 2)(m + 18) (m – 3)(m + 3) (m – 4)(m + 9) (m – 6)(m + 6)

Mathematics

2 answers:

erik [133]3 years ago

8 0

Answer:

$(m-6)(m+6)$

Step-by-step explanation:

we have

$m^{2} -6m+6m-36$

Simplify

$m^{2} -6m+6m-36=m^{2} -36$

we know that

In a difference of square

$(a^{2}-b^{2})=(a+b)(a-b)$

Remember that

$36=6^{2}$

therefore

$(m^{2}-6^{2})=(m+6)(m-6)$

max2010maxim [7]3 years ago

4 0

<span>(m – 6)(m + 6) is the answer.
If you distribute them, you'll get </span><span>m^2 - 36</span>

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Hoochie [10]

what you put is right

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3 years ago

An army base in the desert is located at the origin, O of an x-y coordinate system. A soldier at point P needs to determine his

Nutka1998 [239]

Answer/step-by-step explanation

The soldier at point P lie on a parabola because he determined his position and distances from towns A and B through measurement of the difference in timing (phase) of radio signals received from the two towns.

This analysis of the signal time difference gives the difference in distance of the soldier at P, from the towns.

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3 years ago

- Monica goes for a 60 minute bike ride each day in the summer. Let a rep

Leno4ka [110]

Answer:

m = 60a

a = Independent Variable

m = Dependent Variable.

For a = 1 day, m = 60 minutes

For a = 2 days, m = 120 minutes

For a = 3 days, m = 180 minutes

For a = 4 days, m = 240 minutes

For a = 5 days, m = 300 minutes

For a = 6 days, m = 360 minutes

For a = 7 days, m = 420 minutes

Step-by-step explanation:

Monica goes for a 60-minute bike ride each day in the summer.

If a represents the number of days Monica rides her bike and m represents the total number of minutes she spends riding her bike, then a represents the independent variable and m represents the dependent variable.

The relation between a and m can be written as an equation, m = 60a.

Now, for a = 1 day, m = 60 minutes

For a = 2 days, m = 60 × 2 = 120 minutes

For a = 3 days, m = 60 × 3 = 180 minutes

For a = 4 days, m = 60 × 4 = 240 minutes

For a = 5 days, m = 60 × 5 = 300 minutes

For a = 6 days, m = 60 × 6 = 360 minutes

For a = 7 days, m = 60 × 7 = 420 minutes

Therefore, this is the table to show how many minutes Monica would ride her bike over the course of 1 week. (Answer)

3 0

3 years ago

Angel has 8 DVD movies on a shelf, 2 dramas,5 sicence fiction movies, and 1 comedy. Two movies will be selected at random. Deter

mr Goodwill [35]

Answer:

A) Pd = 13/28

B) Pd = 7/16

Step-by-step explanation:

Given;

Drama = 2

Comedy = 1

Science fiction = 5

Total = 8

a) The probability of selectingat least one drama movie Pd;

Pd = 1 - Pd'

Without replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 5/7 = 15/28

Pd = 1 - 15/28

Pd = 13/28

b) with replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 6/8 = 9/16

Pd = 1 - 9/16

Pd = 7/16

8 0

3 years ago

Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If thi

defon

7978 years

Step-by-step explanation:

A = A02^(-t/hl)

where hl = half-life.

Dividing both sides by A0 and taking the logarithm, we get

ln(A/A0) = -(t/hl)ln2

or solving for t,

t= -(hl)ln(A/A0)/ln2

note that A/A0 = 0.38

t = -(5715 yrs)[ln(0.38)/ln2]

= 7978 years

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2 years ago