simplify the expression with steps

Hello :)

The first thing you want to do is use foil

F- first O- outer I-inner L-last

Lets start with F ( first)

6 × 3 = 18

Now, lets do O (outer)

6 × 2√10 = 12√10

how to do it ?

(6×2=12 and keep √10)

Then, we are going to do I ( inner)

(-√5) × 3= -3√5

how to do it ?

remove the parenthesis

-√5 × 3= -3√5

Lastly, we are going to do L (last)

(-√5) × 2 √10= -10√2

how to do it ?

remove the parenthesis from (-√5), then factor 2 √10

-√5 × 2

-√5 × 2 √5√2

there are two 5's so we use our radical rule √a√a=a

-2 × 5√2=-10√2

The last thing you have to do is put them all together

18+12√20-3√5-10√2

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.