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Veseljchak [2.6K]
3 years ago
15

What is the missing term?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The general expansion of (a + b)² is

(a + b)² = a² + 2ab + b²

Applying this to the following expansions

(1)

(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²

(2)

(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x

(3)

(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16

(4)

(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²

(5)

(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy

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Can someone please help me with this I’ve tried so many times and I’m struggling
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A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.
umka2103 [35]

Answer:

56.55\ ft^2

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

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where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius r_1 of the source is 1.5 ft.

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Finally the area of the pond is equal to the area of the ring that is shown in the image

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5 0
2 years ago
What’s this question
shusha [124]

Multiply the first equation by -1

-3x-y=-4

2x+y=5

Add them up

-x=1

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And y=7

So the first option is correct

8 0
3 years ago
A rectangular park is 85 yards wide and 120 yards long.
ki77a [65]

Answer:

A=10506.25 Sq.yards

Step-by-step explanation:

Width of the park=85 yds

Lenght of the park=120 yds

Now,

A=L*W

A=120*85

A=10200 square yards. This is the area of your given rectangle.

Now,

P=2(L+W)

P=2(120+85)

P=2(205)

P=410 this is the perimeter of your given rectangle.

Now,

a=410/4=102.5

Now,calculate the area of newly given distance of each side:

A=a^2

A=102.5^2

A=10506.25 Sq. Yards

This is the new area and is larger than the area of the given rectangle which was 10200 square yards.

3 0
3 years ago
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