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andrew-mc [135]
3 years ago
12

Given the equation 2 Square root (x minus 5) = 2, solve for x and identify if it is an extraneous solution.

Mathematics
1 answer:
Karolina [17]3 years ago
8 0
2 root (x-5)=2

Divide each side by 2 (in order to isolate the square root):
Root (x-5) =1

Square both sides to remove the radical sign:
(x-5)=1

Solve:
x=6

To be sure that it is not an extraneous solution, check the solution by replacing the value for the variable in the equation.

2 root (6-5) = 2

The square root of 1 is 1.

2(1)=2
This is correct.
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How should 13,079 be written in in expanded form​
Thepotemich [5.8K]

Answer:

10,000 + 3,000 + 70 + 9

Step-by-step explanation:

It will be 10,000 + 3,000 + 70 + 9

That is how expanded form works.

Hope it helps :)

If you have any questions ask me.

5 0
2 years ago
Read 2 more answers
50 points and BRAINLIEST!
Harman [31]

Answer:

Step-by-step explanation:

The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0

Substituting the three points we get the following equations,

2g +14f +c=-50

14g - 2f + c =-50

16g +12f + c = -100

Solving these equations we get,

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4 0
3 years ago
Can someone plz help me i will thank u so much
klemol [59]

Answer:

2 hours and 29 minutes

Step-by-step explanation:

if you change 9 hours to minutes you get 540 plus 17 equals 557. if you turn 6 hours to minutes it's 360 plus 48 equals 408. 557 minus 408 equals 149 minutes. Now if you convert it to hours and minutes you need to divide by 60. So if you divide it you get 2 hours and 29 minutes. hope this helped! :)

4 0
3 years ago
A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
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Find the surface area of the figure?
motikmotik

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

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in our case the area of one trapezoid is

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so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

4 0
2 years ago
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