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3 years ago

Factor 81a^2b^4-c^6 completely

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

3 0

Answer: (9ab^2+c^3)(9ab^2-c^3)

Step-by-step explanation:

81a^2b^4-c^6

(9ab^2)^2-(c^3)^2

(9ab^2+c^3)(9ab^2-c^3)

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

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Write this number in expanded form 382,706

77julia77 [94]

Answer:

Expanded form : 300,000 +80,000 +2000 +700 +6.

Step-by-step explanation:

Given : 382,706.

To find : Write this number in expanded form.

Solution : We have given 382,706.

We can see 3 is at hundred thousand place = 300,000

8 is at ten thousand place = 80,000.

2 is at thousand place = 2000.

7 is at hundred place = 700.

6 is at ones place = 6

Then

Expanded form : 300,000 +80,000 +2000 +700 +6.

Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.

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2 years ago

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1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is

Nostrana [21]

Answer: $14.07\ m$

Step-by-step explanation:

Given

Max is driving at a speed of $42\ mph$

It took him three-quarters of a second i.e. $0.75\ s$

Speed in meter per second is $18.77\ m/s$

Distance is given by

$d=v\times t$

Reaction distance is

$d=18.77\times 0.75=14.07\ m$

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2 years ago

I need help with Which table shows the correct methods used to justify the solution steps?

12345 [234]

Answer:

x = 8

Step-by-step explanation:

3 (x - 5) + 7x = 65

3x - 15 + 7x = 65

10x - 15 = 65

10x = 80

x = 8

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2 years ago

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In triangle QRS, QR = 8 and RS = 5. Which expresses all possible length of side QS?

VLD [36.1K]

Obviously it's answer D) Why?

a) any side of a triangle is SMALLER than the SUM of the 2 others

b) any side of a triangle is GREATER than the DIFFERENCE of the 2 others

Hence D) 8-5 < QS < 8+5==>3 < QS < 13

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3 years ago

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Parallel to y=−3/4x, through (4, -1)

kolbaska11 [484]

Answer:

$y=-\frac{3}{4}x+2$

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= $-\frac{3}{4}$

Parallel lines have the same slope. Thus, the slope of the line would also be $-\frac{3}{4}$ .

$y=-\frac{3}{4}x +c$

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

$-1=-\frac{3}{4} (4)+c$

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is $\bf{y=-\frac{3}{4}x+2$ .

Additional:

Do check out the following for a similar question on slope-intercept form!

brainly.com/question/25549430

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1 year ago