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stealth61 [152]
3 years ago
5

Find a such that the line x = a divides the region bounded by the graphs of the equations into two regions of equal area. (Round

your answer to three decimal places.)
y = x, y = 8, x = 0
a = _____.

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:

a≈2.343

Step-by-step explanation:

View Image

Integrating an equation from boundary x₀ to x₁ gives you the area underneath that boundary.

So to find the boundary that split the equation into 2 equal areas, the boundary must lie somewhere between the 2 place to want to split up. In other word, <em>a</em> is the end boundaries of the first integral and the starting boundary of the second integral.

Since the two area must equal to each other, set the two integral equal to each other and solve for a.

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Can someone provide a step by step explanation on how to solve? Cheers.
blsea [12.9K]

Answer:

a) 0.0137060668

please mark me brainliest and follow me my friend.

I not know b part.

6 0
3 years ago
What is 2X +7 = 5X -8
inna [77]

Answer:

X=5

Step-by-step explanation:

2X+7=5X-8

7=3X-8

15=3X

5=X

5 0
3 years ago
Read 2 more answers
Using d= rt, find r if d= 350 miles and t= 5 hours
lubasha [3.4K]

Answer:

70 miles /hour = r

Step-by-step explanation:

d=rt

Substitute d=350 miles and t = 5 hours

350 miles = r* 5 hours

Divide each side by 5 hours

350 miles = 5 hours = r

70 miles /hour = r

3 0
2 years ago
What is the value of x? 6x−2(x 4)=12
jonny [76]

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
Use a calculator to find the missing side length. Tell whether the side lengths form a Pythagorean Triple.
12345 [234]
Pythagorean theorem: a^2 + b^2 = c^2
The hypotenuse is always the c in the equation.  
If the two side lengths they gave you are not the hypotenuse, then enter
4.5^2 + 5.6^2 in the calculator, then find the square root of that. :-)
5 0
3 years ago
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