Answer: The distance is 30
Step-by-step explanation:
To find the distance between the two points,find the difference between the x and y values, square them and add them to find their square root.
10 - (-14) = 24
-16 - 2= -18
24^2 + 18^2 = d^2 where d is the distance
576 + 324 = d^2
900 =d^2
d = 
d= 30
Answer:
12% decrease
Step-by-step explanation:
[(new value - old value) / old value] x 100
(22 - 25) / 25 = -3/25 = -0.12
-0.12 x 100 = -12%
when you have a negative it indicates a decrease rather than an increase
Answer:
Step-by-step explanation:
<u />
<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:
$16.80 because 12*14 equals 168 then you take 14 times 1.20
<h3>
Answer: 27</h3>
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Work Shown:
x = smaller integer
x+1 = larger integer
x and x+1 are consecutive integers since the larger follows right after the smaller
5*(smaller) - 3*(larger) = 51
5*(x) - 3*(x+1) = 51
5x - 3x - 3 = 51
2x - 3 = 51
2x = 51+3
2x = 54
x = 54/2
x = 27
x+1 = 27+1 = 28
The two consecutive integers are 27 and 28.
