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:



The slope-intercept form of the equation of a straight line is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept.
If the given slope is -1/2, then this equation becomes y = (-1/2)x + b.
You do not say that b=1.
But if we let b=1, then the equation becomes y = (-1/2)x + 1.
Answer:
A.) Kathy starts each week with 108 phones to fix.
Answer:
The distance between the two points is approximately 11 units
Step-by-step explanation:
Here, we are to give the distance between the given two points to the nearest whole number;
To calculate the distance, we shall be using the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (5,6)
(x2,y2) = (1,-4)
D = √(1-5)^2 + (-4-6)^2
D = √((-4)^2 + (-10)^2
D = √(16+100)
D = √(116)
D = 10.77 units which is approximately 11 units
Answer:
$5.32
Step-by-step explanation:
I think its $5.32 because there is at least 6 yogurts in the pack, and its not to expensive as the first one. Plus it has 2 more yogurts then the third one.
(i am so sorry if this dosent make sense)