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3 years ago

Check my answer!

1 answer:

8 0

Factor out a 6

6 / 6x^2 = x^2
6 / -12x = -2x
6 / -18 = -3

6(x^2 - 2x - 3)

Multiply the first term to the last
1 x -3 = -3

(a x b) = -3
(a + b) = -2 (middle term)

(1 x -3) = -3
(1 + -3) = -2

Plug them in by replacing -2x and simplify

6(x^2 - 1x - 3x - 3)
6((x^2 - 1x) - (3x - 3))
6(x(x - 1) - 3(x - 1))
6(x - 3)(x - 1)

Or in this case, 6(x - 1)(x - 3)

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Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. The angle between them is 30 de

leva [86]

We are given : Distance of the swing = 100 feet.

Distance of slide = 80 feet.

Angle between swing and slide = 30 degrees.

We need to find the distance between the swing and the slide.

Distance of swing, distance of slide and distance between the swing and the slide form a triangle.

We can apply cosine law to find the distance between the swing and the slide.

c^2 = a^2 +b^2 - 2ab cos C

c^2 = 100^2 +80^2 - 2(100)(80) cos 30°

c^2 = 10000 + 6400 -2* 8000 $(\frac{\sqrt{3}} 2)}$

c^2 = 16400 - 8000 $\sqrt{3}$

c^2 = 16400 - 13856

c^2 = 2544

$c =\sqrt{2544}$

c= 50.44

c = 50 feet approximately.

<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>

5 0

3 years ago

Read 2 more answers

Find n. Perimeter = 46 in.<br>8 in.

Lana71 [14]

Answer: 108 inches

Step-by-step explanation:

If length = 46, width = 8

Perimeter of rectangle = 2(l+w)

= 2 (46 + 8)

= 2 x 54

= 108 inches

6 0

3 years ago

Is -2/3 and -0.8 greater than, less than, or equal to?

aniked [119]

Answer:

-2/3 is greater than -0.8

Step-by-step explanation:

-2/3 is greater than -0.8. If -2/3 forms to become a decimal it becomes 0.66 (repeated). It is closer to zero therefore causing it to be greater than -0.8.

5 0

3 years ago

5. The sides of a right triangle have lengths of 7 m, 9 m, and 10 m. The hypotenuse

Yuliya22 [10]

C because the hypotenuse is the longest

4 0

2 years ago

Read 2 more answers

Consider the polynomial, 5z - 9x' + 2z11 +6.

Yuri [45]

Answer:

11 ; 2 ; 4 ; 6

Step-by-step explanation:

1) look at the constant with the highest degree (11)

2) look at the coefficent that mutiplies the constant with the highest degree (2)

3) Count the terms that are separated by minus or plus (4)

4) look at the therm without variable (6)

5 0

3 years ago