The sum of the first 7 terms of the geometric series is 15.180
<h3>Sum of geometric series</h3>
The formula for calculating the sum of geometric series is expressed according to the formula. below;
GM = a(1-r^n)/1-r
where
r is the common ratio
n is the number of terms
a is the first term
Given the following parameters from the sequence
a = 1/36
r = -3
n = 7
Substitute
S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180
Hence the sum of the first 7 terms of the geometric series is 15.180
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Answer:
∠3 = 22°
∠4 = 22°
∠5 = 88°
Step-by-step explanation:
86 + 72 = 158
180 - 158 = 22
∠3 ≅∠4 they're verticle angles
22+ 70 = 92
180 - 92 = 88
He first two are relatively easy. f(x-2) shifts it sideways (2 to the right in this case) f(x) -2 shifts it straight down (by 2)
f(2x) means replace x with 2x in the original 4(2x + 1)^2 − 3 if you factor out the 2 from the square root you get 4*sqr(2) ( x + ½)^2 - 3 which is now in the form a ( x -h)^2 + k the vertex is now at (-½, -3) (it used to be at (-1,-3) the "a" has gotten bigger, which makes the parabola "skinnier" (it goes up faster)
2•f(x) becomes 2*( 4(x + 1)2 − 3 ) = 8 (x+1)^2 -6 where is the vertex now? is this parabola fatter or skinnier than the original f(x) ?
Answer:
sin∅= - √6/3
Step-by-step explanation:
Trigonometric function cos is even function which mean:
cos (-∅) = cos ∅
Trigonometric function sin is odd function which mean:
sin (-∅) = - sin∅ => sin∅ < 0
The basic trigonometric equation reads in this case with angle marked ∅:
sin²∅ + cos²∅ = 1 => sin²∅ = 1 - cos²∅ => sin²∅ = 1 - ( √3/3 )² =>
sin²∅ = 1 - (3/9) => sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 => sin∅ = - √(2/3) =>
sin∅ = - √2/√3 => sin∅ = - √6/3
God with you!!!
Answer:
x = 2, and y = -1. Point form: (2, -1)
Step-by-step explanation:
You solve the system of equations, by solving for one variable, and then subsitiute that variable into the other equation.