Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
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Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
Use the permutation formula
nPr = (n!)/((n-r)!)
20P15 = (20!)/((20-15)!)
20P15 = (20!)/(5!)
The final answer is choice A
Answer:
y=tan x and y=cotx
Step-by-step explanation:
We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one
1. y =sinx: False because -1≤sinx≤1 always
2. y=cosx:False because -1≤cosx≤1 always
3. y = tanx: True because tanx can take any value
4. y=cot x: True because cots x can take any value
5. y = csc x: False because this range does not lie between -1 and 1
6. y=sec xFalse because this range does not lie between -1 and 1
First, x intercepts are (-1,0) and (-3,0). y intercept is(0,2)
second, left side is a function because there are no x-values paired with two different y-values. right side is not a function because the x-value 3 is paired with two different y-values values
third, slope is ride over run, or the difference in y values divided by difference in x values. slope is 1/2. intercept is at (0,2). the equation is then y=1/2*x + 2
Answer:20474.7
Step-by-step explanation:
68249 divide by 10 then multiply by 3
