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Vesna [10]
2 years ago
11

How do I factor this? 5x^2y+45x^3y^2

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

5 x^2 y (9 x y + 1)

Step-by-step explanation:

Factor the following:

45 x^3 y^2 + 5 x^2 y

Factor common terms out of 45 x^3 y^2 + 5 x^2 y.

Factor 5 x^2 y out of 45 x^3 y^2 + 5 x^2 y:

Answer: 5 x^2 y (9 x y + 1)

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Problem
Contact [7]

Answer:

<em>The width of the lid is 15 cm</em>

Step-by-step explanation:

<u>The Perimeter of a Rectangle</u>

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

8 0
3 years ago
There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow
Ivanshal [37]
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

\frac{8yellow}{20total} = \frac{Xyellow}{100total}

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!
6 0
3 years ago
A system of linear equations is given by the tables.
almond37 [142]

Answer:

2

-1

x=4,y=11 (same in both equations)

5 0
3 years ago
I need help<br><br> (No link please)
umka21 [38]

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

6 0
2 years ago
Please determine if the relationship is linear, exponential, or quadratic. justify your answer.
r-ruslan [8.4K]

Answer:

This function is a quadratic.

Explanation:

If you sketch a graph, you will see the points form a U, representing a quadratic function.

3 0
3 years ago
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