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Cloud [144]
3 years ago
13

The sum of two consecutive integers is at least 36.

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
B.  18 and 19 which are the closest to 36 or greater
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Simplify the expression given below. 1/(2x^2-4x) -2/x
Sholpan [36]

Answer:

(9 - 4 x)/(x (2 x - 4))

Step-by-step explanation:

Simplify the following:

1/(2 x^2 - 4 x) - 2/x

Put each term in 1/(2 x^2 - 4 x) - 2/x over the common denominator x (2 x - 4): 1/(2 x^2 - 4 x) - 2/x = ((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)):

((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

A common factor of 2 x - 4 and 2 x^2 - 4 x is 2 x - 4, so (x (2 x - 4))/(2 x^2 - 4 x) = (x (2 x - 4))/(x (2 x - 4)):

((x (2 x - 4))/(x (2 x - 4)))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

(x (2 x - 4))/(x (2 x - 4)) = 1:

1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)) = (1 - 2 (2 x - 4))/(x (2 x - 4)):

(1 - 2 (2 x - 4))/(x (2 x - 4))

-2 (2 x - 4) = 8 - 4 x:

(8 - 4 x + 1)/(x (2 x - 4))

Add like terms. 1 + 8 = 9:

Answer: (9 - 4 x)/(x (2 x - 4))

3 0
4 years ago
Read 2 more answers
The Skyview Atlanta in Atlanta, Georgia is a super-sized Ferris wheel that overlooks the city
katrin [286]

Answer: a. 279.11meters

b. 2513.27 feet

Step-by-step explanation:

Circumference of a circle= 2πr

where r = radius of the circle.

In the picture, there are t

18 spokes, therefore the angle between any two spokes will be:

360° ÷ 18 = 20°

The arc length traversed by passenger will be= radius of the circle × the angle that is traversed by the passenger

radius = 200 feet.

He has traveled from M to J,that subtends 4 × 20 = 80°

= 80π/180 radian = 4π/9radian

The passenger has therefore traveled:

200 × 4π/9 = 800π/9

= (800×3.14)/9

= 279.11meters

Part B.

Full ride is equivalent to 2 × the circumference of the circle= 2 × 2πr

= 4πr

= 4 × 3.14 × 200

= 2512 feet

So,he would travel 4* 7 * 200 feet = 2513.27 feet

4 0
4 years ago
If x2 + y2=6 , xy = 5 , then (X + y)2? <br><br><br><br>​
VARVARA [1.3K]

Answer:

(x + y)² =16

Step-by-step explanation:

hello :

(x + y)² = x²+y²+2xy   and : x²+y² = 6     xy = 5

(x + y)² = 6+2(5)

(x + y)² =16    

3 0
3 years ago
Peter bought 8 lemons for $6. Each lemon was the same price.<br> What was the cost of 1 lemon?
valkas [14]

Answer:

The price for 1 lemon is $0.75

Step-by-step explanation:

8x=$6

8x/8=6/8

x=$0.75

3 0
3 years ago
Read 2 more answers
Please help !!!!!!!!!!!
atroni [7]

Answer:

B

-3

Step-by-step explanation:

B is correct but based on the fact that you selected it I'll assume you know why (comment if you want me to explain it)

Then for two lines to be paralell it means that their lines never intersect

The only way for this to be possible is if the lines have the same slope.

This means that the answer is -3

3 0
3 years ago
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