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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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Ket [755]

Answer: Area of square PQRS is 81cm^2 and of ABCD is 25cm^2

You know its a square. Which means all the sides are equal and same length. If you dont know what's a square then here is the definition:

Square is a plane figure with four equal sides and four right (90°) angles.

So now we know both of are squares, in case of the first square, PQRS, one side length is already given which is PQ=9cm. Now one side is 9cm which means all the sides are 9cm's (PQ=9cm, QR=9cm, RS=9cm,SP=9cm). So to find area just multiply them:

9cm * 9cm = 81cm^2

Now you found the area of the first square. So for the second square, ABCD, one side length is 5 cm so all the rest three sides are also 5 cm. Again, multiply them in order to find the area:

5cm * 5cm = 25cm^2

So square PQRS is 81cm^2 to that of square ABCD is 25cm^2

CAUTIONS: IT IS NOT THAT HARD YA KNOW

By the way, hope it helps! ^^

7 0
2 years ago
110 120 130 140 150 160
ycow [4]

Answer:

Step-by-step explanation:

Given the data:

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110 _______ 120

130 _______140

150 _______160

From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.

7 0
3 years ago
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Which fractions equal to0.20%
alukav5142 [94]

Answer:

2/10

Step-by-step explanation:

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Complete question :

Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.

Answer:

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Step-by-step explanation:

Purple ribbon = 7/8 yards

Green ribbon = 1 1/6 yards = 7/6 yards

Total ribbon = 3 2/3 yards = 11/3 yards

Ribbon that is neither purple nor green :

Total ribbon - (green + purple ribbon)

7/8 - (7/6 + 7/8)

11/3 - (28 + 21) / 24

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= 1.625 yards

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Step-by-step explanation:

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Hope this helps :)

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