Combine and simplify the radicals below √8 * √20

Answers

Answer 1
Answer: here is my approach to this problem. :)

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What is the solution of the following question?
x^2+10x+25=12

Answers

make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula

x= \frac{-b+/- \sqrt{b^(2)-4ac} }{2a}
x= \frac{-10+/- \sqrt{10^(2)-4(1)(13)} }{2(1)}
x= (-10+/- √(100-52) )/(2)
x= (-10+/- √(48) )/(2)
x= (-10+/- 4√(3) )/(2)
x= -5+/- 2√(3)


x= -5+ 2√(3) or -5- 2√(3)

aprox
x=-1.5359 or -8.4641





Answer: - 1.536  or - 8.464  

Step-by-step explanation:

Step 1: Rearrange the equation, by putting everything on the left hand side of the equation so that the quadratic formula can be applicable to the equation  

x^2-10*x+25-(12)=0  

Step 2: the quadratic formula

                       

           - B  ±  √ B2-4AC

 x =   ————————

                     2A    

Where A= 1

B = 10

C = 13

B2  -  4AC =  100 - 52  

= 48

            10 ± √ 48  

  x  =    —————

                   2

      -   √ 48  

x =(10-√48)/2=5-2√ 3 =  - 1.536  

x =(10+√48)/2=5+2√ 3 = - 8.464  

Are the two solutions

A car traveled twice as fast on a dry road as it did making the return on a slippery road. the trip was 60 mi each way, and the round trip took 35 hr.

Answers

If it was 60 miles round trip, each way was therefore 30 miles.
Let x represent the hours taken on the dry road.  Slippery road was then 2x.  2x + x = 3x.  35 / 3 = 11.66… = x.
So, on the dry road, the car took 11.66…  hours.
For the slippery one, 2 * 11.66… or 23.33…  hours.
Convert to mph, shall we?
Dry road:
30 miles / 11.66… hours = 2.57… mph.
Slippery road:
30 miles / 23.33… hours = 1.28… mph.
If that’s what you’re looking for — you never quite asked.

draw and shade a figure that represents 100 percent. label ur figure ''100 percent'' describe the figure in words?

Answers

draw a bar and shade it in all the way

∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
83°
97°
17°

Answers

suplementary means adds to 180
a+b=180
a=83
83+b=180
minus 83 both sidse
b=97

answer is 97 degrees

Answer:

it is 17 d

Step-by-step explanation:

OlympiDuring the 1996 Summer Olympics in Atlanta, Georgia
the American athlete Michael Johnson set an
and world record in the men's 200-meter run. He finishe
the race in 19.32 seconds, breaking the previous Olympi
record of 19.75 seconds. By how much did Micha
Johnson break the previous Olympic record?

Answers

Answer: he broke the record by 0.43 seconds

What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units? A. 10 units B. 20 units C. 24.7 units D. 29.2 units

Answers

the length of the hypotenuse is 25 units and the length of the other leg is 15 units

To find the length of one leg of a right triangle we apply Pythagorean theorem

(one leg)^2 = hypotenuse ^2 - other leg ^2

Let x be the length of one log

hypotenuse = 25

other log = 15

x^2 = 25^2 - 15^2

x^2 = 625 - 225

x^2 = 400

Take square root on both sides

x = 20

The length of one leg = 20 units