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CaHeK987 [17]
3 years ago
8

What is the product? 4k+2/k^2-4*k-2/2k+1

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0
\bf \cfrac{4k+2}{k^2-4}\cdot \cfrac{k-2}{2k+1}\implies \cfrac{2(2k+1)}{k^2-2^2}\cdot \cfrac{k-2}{2k+1}\implies \cfrac{2\underline{(2k+1)}}{\underline{(k-2)}(k+2)}\cdot \cfrac{\underline{k-2}}{\underline{2k+1}}
\\\\\\
\cfrac{2}{k+2}\cdot \cfrac{1}{1}\implies \cfrac{2}{k+2}
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A Toyota Prius and a Dodge Circuit leave an intersection at the same time. The Prius heads east at an average speed of 50 miles
zhenek [66]

Answer:

33.634 ; 134.536 ; d = √[(50t)² + (45t)²]

Step-by-step explanation:

Given the following :

Toyota Prius = East at 50mph

Dodge Circuit = South at 45mph

Distance apart after 30 minutes :

Distance = speed * time

Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles

Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles

Hence Displacement after 30 minutes :

d = √(25² + 22.5²)

d = √625 + 506.25

d = √1131.25

d = 33.634 miles

Distance apart after 2 hours :

Distance = speed * time

Distance moved by Prius = ( 50mph × 2hr) = 100 miles

Distance moved by Circuit = ( 45mph × 2hr) = 90 miles

Hence Displacement after 2 hours :

d = √(100² + 90²)

d = √10000 + 8100

d = √18100

d = 134.536 miles

Distance d in miles after t hours :

d = √[(50t)² + (45t)²]

8 0
4 years ago
Which system of inequalities is shown in the graph?
-Dominant- [34]

Answer:  A. -3x+y>-2 and 2y>x+2

Step-by-step explanation: Graph is shown down below.

Hope this helps you out! ☺

3 0
3 years ago
You plant a tree that is 42 inches tall. After one year, the tree is 47 inches tall. Which expression describes the percent incr
kolezko [41]
Use cross multiplication. 42 inches is your 100%. your fraction would be 42/100
then, to find by what percent it has increased, since 47 is your new height, and you are trying to find the percentage for that, the fraction will be 47/X.

42          47 
-----       -----
100         X

(100 * 47) / 42 = X

100 multiplied by 47, then divided by 42, the result is X

your answer should be 111%. Subtract 100 from 111, to get the increased percent.

Answer: 11%

I did this last year, so it may be a little rusty. If im wrong, hopefully someone will correct me, if not, im pretty sure this looks rights. Your methods may also be different. i use cross mulitplication
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3 years ago
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What is your current debt ratio as a percentage to the nearest hundredth?
olasank [31]

Answer:

Step-by-step explanation: see attachment below

4 0
4 years ago
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The answer is B because every time Nelson mows a lawn, he will earn $15 each.
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