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3 years ago

Which is equivalent to 4x/x-7 - x+7/x

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

Answer:

The answer to your question is the second choice

Step-by-step explanation:

4x/ (x - 7) - (x +7) / x

- Find the greatest common factor from x and (x - 7)

GCF = x(x - 7)

- Substract the terms

[4x(x) - (x + 7)(x - 7)] / x(x - 7)

- Simplify

[ 4x² - x² + 49] / x(x - 7)

[ 3x² + 49] / x(x - 7)

- Result

3x² + 49 / x(x - 7)

You might be interested in

How many seconds will light leaving Los Angeles take to reach the following locations (a) San Francisco (about 500km), (b) Londo

kondor19780726 [428]

Answer:

a) It takes 0.0017s for the light to reach San Francisco.

b) It takes 0.033s for the light to reach London.

c) It takes 1.334s for the light to reach Mars.

d) It takes 149.7s for the light to reach Venus.

Step-by-step explanation:

Here we can solve this problem by using this following formula:

$s = \frac{d}{t}$

In which s is the speed(in km/s), d is the distance(in km) and t is the time(in s).

The light speed is 299 792 458 m / s = 299,792.458 km/s, so $s = 299,792.458$

(a) San Francisco (about 500km)

Find t when $d = 500$ . So

$s = \frac{d}{t}$

$299,792.458 = \frac{500}{t}$

$299,792.458t = 500$

$t = \frac{500}{299,792.458}$

$t = 0.0017s$

It takes 0.0017s for the light to reach San Francisco.

b) London(about 10,000km)

Find t when $d = 10,000$ . So

$s = \frac{d}{t}$

$299,792.458 = \frac{10,000}{t}$

$299,792.458t = 10,000$

$t = \frac{10,000}{299,792.458}$

$t = 0.033s$

It takes 0.033s for the light to reach London.

(c) the Moon (400,000km)

Find t when $d = 400,000$ . So

$s = \frac{d}{t}$

$299,792.458 = \frac{400,000}{t}$

$299,792.458t = 400,000$

$t = \frac{400,000}{299,792.458}$

$t = 1.334s$

It takes 1.334s for the light to reach Mars.

(d) Venus (0.3 A.U. from Earth at its closest approach).

Each A.U. has 149,59,7871 km.

So 0.3 A.U. = 0.3*(149,597,871) = 44,879,361.3. This means that $d = 44,879,361.3$ . So:

$s = \frac{d}{t}$

$299,792.458 = \frac{44,879,361.3}{t}$

$299,792.458t = 44,879,361.3$

$t = \frac{44,879,361.3}{299,792.458}$

$t = 149.7s$

It takes 149.7s for the light to reach Venus.

3 0

3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long, 11 cm wide, and 10 cm tal

sammy [17]

Answer:

√446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

8 0

2 years ago

Not sure, please help!

Blizzard [7]

Divide the number of actual pages by 2.

52/2 = 26

She will need 26 sheets of paper.

Hope this helps!

3 0

3 years ago

(Giving Brainliest♡)

frutty [35]

Answer:

Step-by-step explanation:

Hi there! :)

If you created 5 circles cut into thirds, you would create 15 1/3 pieces.

You can also use the KCF method to solve this!

7 0

3 years ago

I need help !!!!!!!!!!!!!

hoa [83]

Answer:

see below

Step-by-step explanation:

7 x 13 (split 13 into 10 + 3)

= 7 x ( 10 + 3) (expand parentheses by distributive property)

= (7 x 10) + (7 x 3)

= 70 + 21

= 91

8 0

3 years ago