The equation of a circle centred at point (m,n) and radius r is given by

<span>(x-m)² + (y-n)² = r²
</span>-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!

3 0

2 years ago

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Five grams of sugar are added to a 40-gram serving of a breakfast cereal that is 10% sugar. What is the percent concentration of

tamaranim1 [39]

10g+0.10(40g)=14 grams of sugar.

7 0

2 years ago

Is the question asking to see if x = 1, y=-2, and z=2 by solving the three equations?

dybincka [34]

Answer:

2 × 1 +2 +2×2 =8

2+2+4=8

8=8

3×1 +3× -2 + 4×2 =5

3-6+8=5

5=5

1+2 × -2 +2 = -5

1-4+2= -5

-5 = -5

6 0

2 years ago