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garri49 [273]
1 year ago
9

Maya is solving the quadratic equation by completing the square.

Mathematics
1 answer:
kvasek [131]1 year ago
6 0

Step-by-step explanation:

factor 4 out of the variable terms, as this helps.

but my approach is simply to define the target and then calculate "backwards".

we want to find

(ax + b)² = a²x² + 2abx + b²

and now we compare with the original equation :

a²x² = 4x²

a² = 4

a = 2

2abx = 16x

2×2×bx = 16x

4b = 16

b = 4

b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.

so, our equation is

(2x + 4)² - 13 = 0

(2x + 4)² = 13

2x + 4 = sqrt(13)

2x = sqrt(13) - 4

x = sqrt(13)/2 - 2

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Answer:

30m

Step-by-step explanation:

A=πr²

225π=πr²

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r=√225

r=15

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3 years ago
Jean-Jacques Rousseau<br><br>30 POINTS+BRAINLIEST
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Answer:In The Social Contract (1762) Rousseau argues that laws are binding only when they are supported by the general will of the people. His famous idea, 'man is born free, but he is everywhere in chains' challenged the traditional order of society.

Step-by-step explanation:

In The Social Contract (1762) Rousseau argues that laws are binding only when they are supported by the general will of the people. His famous idea, 'man is born free, but he is everywhere in chains' challenged the traditional order of society.

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Punch recipe Ginger Ale 40% Orange Juice 25% Pineapple juice 20% Sorbet 15% Question 1: If you have 3 cups of pineapple juice, h
andrew11 [14]

Answer:

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Mkey [24]
<h2>AREA</h2>

The formula for finding area of a square is:

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length \times width \rightarrow 6 \times 6

Multiply:

6 \times 6 = 36

The area of the square is 36 m²

<h2>PERIMETER</h2>

Perimeter is the distance around a shape. To find perimeter, you have to add all all the side lengths. The formula for finding perimeter is:

2(l) \times 2(w)

Remember that squares have 4 sides, and all length(s) and width(s) measure the same. The length and width measure the same. Plug in the numbers into the formula:

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Simplify:

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Add:

12 + 12 = 24

The perimeter of the square is 24 m

7 0
3 years ago
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