Answer:
20078/243
Step-by-step explanation:
sn = a1-a1r^n/1-r
sn = a1 * 1-r^n/1-r
s7 = 6 * 1 - (-5/3)^7/1-(-5/3)
s7 = 6 * 10039/729
s7 = 6 * 10039/243*3
s7 = 2 * 10039/243
s7 = 20078/243
Answer:
A)128
B)717
Step-by-step explanation:
In Roman numerals each letter have a numerical value in Hindu-Arabic numerals.
These values are:
I = 1
V = 5
X = 10
L = 50
C =100
D = 500
M = 1000
a) CXXVIII = 100+10+10+5+1+1+1 = 128
b) XCDCCCXXVII = 500+100+100+10+10+7-100-10 = 717
In this question we subtracted the value of XC(-100-10) because it was preceding or appeared before a larger value and hence, we subtract these values from the value of DCCCXXVII(500+100+100+100+10+10+7).
This could be understood with the help of following example: If we calculate the value of CD it would be (500-100) = 400. Now, XCD = (400-10) = 390.
Answer:
(x-3)²+(y+5)²=16
Step-by-step explanation:
The equation above is an equation of circle with a centre at (h,k) and has radius = r
Substitute h = 3, k = -5 and r = 4 in the equation.
Answer: y=-2x+9
Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9