X = {3.898979486, -5.898979486}
x = {3.9 x -5.9}
Answer:
a=11
Step-by-step explanation:
Let's solve your equation step-by-step.
√a+5=4
Solve Square Root.
√a+5=4
a+5=42(Square both sides)
a+5=16
a+5−5=16−5(Subtract 5 from both sides)
a=11
Check answers. (Plug them in to make sure they work.)
a=11(Works in original equation)
Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
other leg = 12 cm
using Pythagoras' identity with x as the side to be found, then
x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12
The center is (2,-1) and the radius is 3