4,362,784 rounded to the greatest place value is?
2 answers:
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Answer:
D
Step-by-step explanation:
Obtain the equation of the circle in standard form
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 13, - 12), thus
(x + 13)² + (y + 12)² = r²
The radius is the distance from the centre (- 13, - 12) to the point on the circumference (- 17, - 12)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 17, - 12) and (x₂, y₂ ) = (- 13, -12)
r = =
= 4
Hence
(x + 13)² + (y + 12)² = 16 ← in standard form
Substitute the coordinates of each point into the left side of the equation and check
A (- 17, - 13) : (- 4)² + (- 1)² = 16 + 1 = 17 ≠ 16
B (- 9, - 17) : 4² + (- 5)² = 16 + 25 = 41 ≠ 16
C (- 12, 13) : 1² + 25² ≠ 16
D (- 9, - 12) : 4² + 0² = 16
Since (- 9, - 12) satisfies the equation, it is on the circle → D
Answer:
a = 4, b =
Step-by-step explanation:
Use any ordered pairs of points from the table.
Substitute into the equation and solve for a and b, that is
Using (0, 4), then
4 = a = a
Hence a = 4
Using (2, 1), then
1 = 4 ( divide both sides by 4 )
b² = ( take the square root of both sides )
b =
Equation is
y = 4