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2 years ago

Please help to solve thisFind H.C.F m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1

Mathematics

1 answer:

Nikitich [7]2 years ago

7 0

Answer:

m^2+m+1

Step-by-step explanation:

m^3 - 1= (m-1)(m^2+m+1)
m^4 + m^2 + 1= m^4+2m^2+1 - m^2= (m^2+1)^2 -m^2= (m^2+m+1)(m^2-m+1)
m^2+ m + 1

HCF= m^2+m+1 which is the factor of all three polynomials

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Answer: No

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2 years ago

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

2 years ago

The table below shows how much Joe earns, y, after working x hours.

FromTheMoon [43]

Answer: Given : Joe’s Earnings and hour worked

The relationship between money earned and hours worked is linear.

Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).

To Find : How do the two slopes compare?

Solution:

Hours worked Money earned

4 $30

10 $75

12 $90

22 $165

slope between (4, 30) and (12, 90),

= (90 - 30)/(12 - 4)

= 60/8

= 15/2

slope between (4, 30) and (10, 75)

= (75 - 30)/(10-4)

= 45/6

= 15/2

The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.

Both Slopes are same.

i hope this helped and have a nice day/night

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2 years ago

Which expressions are equal to the expression –2.7 – 16.4?

bija089 [108]

B and D are the same as your expression because adding a negative number is the same as taking away. whereas in A and C, taking away a negative is the same as adding, which you don't want

6 0

3 years ago

Please help to solve thisFind H.C.F m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1​

Please help to solve thisFind H.C.F m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1