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2 years ago

Factor this polynomial completely. x^2-81

Mathematics

2 answers:

expeople1 [14]2 years ago

7 0

The answer to your question is (x+9)(x-9)

Step-by-step explanation:

Rewrite 81 as 92

x2−92

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)

where a=x and b=9

(x+9)(x−9)

Hope this helped you out:)

ikadub [295]2 years ago

4 0

Answer:

a=x and b=9

(x+9)(x−9)

Explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)

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Dafna11 [192]

Step-by-step explanation:

5*(4x+8)=6*(2x+3)

20x+40=12x+18

20x _12x= 18_40

8x = _22

x=_22/8

x= _11/4

8 0

2 years ago

For x > 3, values of the function f(x) = –(x – 3)^2(x + 2) are negative. On this same interval, which statement correctly des

Andrej [43]

For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?

4 0

2 years ago

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Please Help Me!! I need to know the answer quickly!!

aivan3 [116]

1. A and B
2A. 1
2B. 4
3B. 4
3A. 2y and y
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8 0

3 years ago

Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo

Anvisha [2.4K]

<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

B = Blake's starting position
F = finish line
C = the third unmarked point of the triangle

The locations of the points are

B = (-8,1)
C = (-6,-3)
F = (4,-2)

Use the distance formula to find the distance from B to C

$B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\$

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

7 0

2 years ago

Laura has two large cylindrical barrels of solution in her chemical laboratory. The first barrel contains 900 liters of solution

aleksley [76]

Answer:

-36m + 900 < 44m + 100

Step-by-step explanation:

Given that:

The first barrel contains 900 liters of the solution; &

The second barrel contains 100 liters of solution.

So, Laura drains the first barrel at the rate of 36 liters/ min

Since Laura is draining the solution in the first barrel;

Then; we have - 36m + 900 litres

Also; Laura fills the second barrel at a rate of 44 liters per minute.

Since Laura is filling the barrel; we have: 44m + 100

Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:

- 36m + 900 < 44m + 100

6 0

2 years ago