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Degger [83]
4 years ago
15

Compare 6.51326 and the square root of 39. (show work)

Mathematics
1 answer:
VLD [36.1K]4 years ago
5 0
Solving the given, the square root of 39 = 6.2445

Comparing to the 6.51326, it has a difference of 0.268262. Thus, 6.51326 is greater than square root of 39.

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I have the answer, 2-(3/x+2)
Marat540 [252]

Start with the answer format we want, and work your way toward forming a single fraction like so

a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\

Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.

Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.

So, 4+b = 1 leads to b = -3

Therefore, a = 2 and b = -3

------------------------------------------------

An alternative route:

\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\

I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.

------------------------------------------------

Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.

3 0
3 years ago
Read 2 more answers
The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of
goblinko [34]

Approximately 2 gallons will be needed if each gallon of stain and  the project will cost be $73.96 if  each gallon costs $36.98

<h3>How to find the area of a triangle</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is  150 square feet

Number of gallons needed  = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons  = 36.98 * 2

Cost of the two gallons  = $73.96

Hence the project will cost be $73.96 if  each gallon costs $36.98

Learn more on area of a triangle here: brainly.com/question/23945265

8 0
2 years ago
24 divided my 6 + 4 to the power of 2
Tasya [4]

Answer:

.24

Step-by-step explanation:

6 0
3 years ago
The length and breadth of a rectangular park 25m and 12m. find the distance covered by a boy who takes 4 rounds of the garderean
kodGreya [7K]

Answer:296 m

I’m assuming “breadth” is width and garderean is just the park.

(25+25+12+12) times 4.

A is never defined

5 0
2 years ago
30 POINTS!!!
valkas [14]

The right answer is Option A.

Step-by-step explanation:

Given equation is;

y = 0.354x+4.669

Where x represents the number of miles traveled.

For measuring the cost for two stations that are 10 miles apart;

x=10

Putting in given equation

y=0.354(10)+4.669\\y=3.54+4.669\\y=8.209

Rounding off to nearest hundredth;

y=$8.21

The cost for two stations that are 10 miles apart will be $8.21

The right answer is Option A.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/10525991
  • brainly.com/question/10534381

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
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