Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​
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Step-by-step explanation:

The solution and answer are well written in the Pic above.

Given equation of the Circle is ,

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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