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3 years ago

Factor 32x^3 - 16x^2 + 2x

Mathematics

2 answers:

Dimas [21]3 years ago

3 0

Answer: 2x(16x^2−7)

Step-by-step explanation:

vlabodo [156]3 years ago

3 0

Answer: 2x(4x-1)^2

Explanation:
Factor 32x^3-16x^2+2x
2x(16x^2-8x+1)
Factor
2x(4x-1)^2

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What are the composite factor of 20

Stella [2.4K]

Answer:

Step-by-step explanation:

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3 years ago

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In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

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3 years ago

26•26^8 i’m not sure how to solve this

alexira [117]

Answer:

26^9

Step-by-step explanation:

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4 years ago

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Find the volume of the prism. Write your answer as a decimal.

anyanavicka [17]

Answer:

Step-by-step explanation:

It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed

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3 years ago

Solve the inequality

Marianna [84]

Answer:

The answer to your question is the letter A) x ≥ 0.5

Step-by-step explanation:

Inequality

2(4x - 3) ≥ -3(3x) + 5x

Process

1.- Expand

8x - 6 ≥ - 9x + 5x

2.- Simplify

8x - 6 ≥ - 4x

3.- Add 6 units in both sides

8x - 6 + 6 ≥ -4x + 6

4.- Simplify

8x ≥ -4x + 6

5.- Add 4x in both sides

8x + 4x ≥ -4x + 6 + 4x

6.- Simplify

12x ≥ 6

7.- Divide by 12 both sides

12x/12 ≥ 6/12

8.- Simplify

x ≥ 1/2 or 0.5

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3 years ago

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