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ad-work [718]
3 years ago
12

Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the

area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

Step-by-step explanation:

4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²

{Compare with a² + 2ab + b² = (a+ b)²}

                         = (2x + 5)²

                         = (2x +5)*(2x+5)

Side of the square = 2x+ 5

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The answer I need this answer emergency pls help
HACTEHA [7]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
5000 people attended a football game. 2350 of the people attending supported the home team, while 2650 supported the visiting te
Otrada [13]

Answer:

47%

2350 out of 5000=0.47

move the decimal 2 times

3 0
3 years ago
A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Aleks [24]

Answer:

<u>The number of pens = 120 and the number of pencils = 200</u>

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

y = 300/1.5 = 200

x = y - 80 = 200 - 80 = 120

<u>So, the number of pens = 120 and the number of pencils = 200</u>

7 0
3 years ago
!!!!!! URGENT PLS HELP ME ANSWER !!!!
laila [671]

Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

1)

A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136

C = \Pi D = 3.14 * 26.4 = 82.896

2)

A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226

C = 2\Pi r = 14.7*2 * 3.14 = 92.316

3)

A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344

C = \Pi D = 3.14 * 32.8 = 102.992

4)

A = \Pi (\frac{D}{2})^2 =  3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625

C = \Pi D = 44.5*3.14 = 139.73

5)

A = \Pi r^2 = 3.14*22.3^2 = 1561.4906

C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044

6)

A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776

C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784

8 0
3 years ago
Mr. Kovich is preparing materials for a craft project. He needs to cut 2 meters of string into pieces that are 0.2 meters long.
kondor19780726 [428]

Answer:

10 pieces

Step-by-step explanation:

2 divided by 0.2

20 divided by 2

10 pieces

8 0
3 years ago
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