Factor completely. 2x^2y+12xy+18y

Answers

Answer 1
Answer: 2x^2y+12xy+18y 
take 2y as a common factor 
= 2y*(x^2 +6x+9)
= 2y*(x+3)*(x+3)
= 2y*(x+3)^2

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The following triangles are similar. Find x.10


13.5


15


14

Answers

Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:

(4)/(12) \rightarrow 4:12

12 / 4 = 3

To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3

5 * 3 = 15

That means x = 15

The end zone of a football field is 10 yards deep and 53 yards across. Between the two end zones is the playing field, which is 100 yards long and 53 yards wide. What is the length of the diagonal from the back of one end zone to the back of the other?

Answers

When you put the pieces of the field together, you have a rectangle that's 53 yards
wide and 120 yards long.

When you draw the diagonal, it divides the field into two right triangles.Each one
has legs with lengths of 120 yards and 53 yards.  The diagonal of the field is the
hypotenuse of both right triangles.

(120)² + (53)² = (the hypotenuse)²

14,400 + 2,809 = (the hypotenuse)²

17,209 = (the hypotenuse)²

The diagonal (hypotenuse) = √17,209 = 131.183... yards (rounded)

I guess that's the longest straight line it is possible to run on a football field
while staying in bounds.

The two lines represent the distance traveled by Noah and Diego. Which person is running more quickly? Explain how you know.

Answers

Answer: It Diego i think please don’t be mad at me if you get it wrong

PLSSSS HELP IF YOU TRULY KNOW THISSSSS

Answers

I believe it would be 10^10 power

Ok what is the answer

Answers

Tyronebiked 45 miles at an average speed of 18 miles per hour, without stopping.About how long did the ride take him? Use the formula t= (d)/(r)

d = distance = 45 miles

r = rate = 18 miles per hour

t = time

t= (d)/(r)

t= (45)/(18)

t= 2.5
answer

Find 10.5 in plus 7.35 in and use the correct number of significant digits in the sum

Answers

I don't really understand what is your question saying but the answer is 17.85, the work is the following:

     10.50
  + 07.35
________
     17.85