Center at (0, 0), radius 2

Mathematics

1 answer:

Step2247 [10]3 years ago

6 0

Answer:

x² + y² = 4

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius]Here r = 2, thus

x² + y² = 4

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The answer is: " 11 " .
____________________________________________________
→ " x = 11 " .
____________________________________________________
Explanation:
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Set up the ratio/ proportion as a fraction:

6 cm / 48 cm = 5 cm / (3x + 7) ;

→ The "cm" units cancel out; since: "cm/cm = 1 " ;

→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;

→ Rewrite as: $\frac{1}{8} = \frac{5}{3x + 7}$ ;

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Note: $Given: \frac{a}{b} = \frac{c}{d}$ ; $ad = bc$ ;
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As such:

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→ 3x + 7 − 7 = 40 − 7 ;

to get:

→ 3x = 33 ;

Now, divide each side of the equation by "3" ;
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