Answer:

Step-by-step explanation:
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<u>Distance formula</u>

Let P(x, y) = any point on the locus
Let A = (0, 2)
Let B = (-2, 3)
If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

Therefore, using the distance formula:

Square both sides:
![\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%2B%28y-2%29%5E2%3D%5Cdfrac%7B1%7D%7B9%7D%5B%28x%2B2%29%5E2%2B%28y-3%29%5E2%5D)

Multiply both sides by 9:



Answer:
6u^3
Step-by-step explanation:
5,000,000 + 900,000 + 1,000 + 500 + 40 + 2
hope this helps
word form: five million, nine hundred one thousand, five hundred and forty-two
Answer:
y = (1/2)x - 3
Step-by-step explanation:
The slope of line WX is -2. Therefore, the slope of a line perpendicular to line WX is the negative reciprocal of -2, or +1/2.
Substitute -2 for y, -1 for x and 1/2 for m in y = mx + b, for the purpose of finding b:
-2 = (1/2)(-1) + b. Multiply all terms by 2 to eliminate the fraction:
-4 = -1 + b. Then b = -3, and the desired equation is y = (1/2)x - 3.
Answer:
C. It is an angle that has its vertex at the center of a circle.
Step-by-step explanation:
That's the definition.
A. is wrong. An angle with a measure greater than 180° is an obtuse angle,
B. is wrong. An angle that has its vertex on the circle is an inscribed angle.
D. is wrong. Part of the circumference of a circle is an arc.