Answer:
y - 1 = -4(x - 4)
Step-by-step explanation:
The point-slope form looks like y-k = m(x-h), where (h,k) is a point on the line and m is the slope.
Here, y - 1 = -4(x - 4). This is in point-slope form.
Step-by-step explanation:
43. P, U
44. 7
53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.
55
a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.
One of those combinations does not have K, so 3 combinations of the 4 have K.
p = 3/4
b. p = 1 since any three points are always coplanar.
add the total time = 3+1 = 4 hours
add total miles = 100+49 = 149
divide 149 by 4= 149/4 = 37.25 miles per hour average
Answer:
(a^8)/(b^9)
Step-by-step explanation:
Two rules of exponents come into play.
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
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Applying the first rule, we have ...
(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9
Applying the second rule gives the simplified form ...
= (a^8)/(b^9)