<h3><u>
Answer:</u></h3>
33480783
<h2><u>
Step-by-step explanation:</u></h2>
<u>Finding the Common Ratio:</u>
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) <em>(Where n is any integer)</em>
<em>replacing the values, taking n=2</em>
r = -21 / 7
r = -3
<u>Solving for the 15th Term:</u>
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ <em>(where a is the first term and r is the common ratio)</em>
<em>replacing the values (taking n = 15 since we need the 15th term)</em>
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
<span>The best and most correct answer among the choices provided by the question is the third choice:
table 3:
step 1.x^2+8x+15+1=0+1
step 2.x^2+8x+16=1
<span>step 3.(x+4)^2=1</span>
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles given and equate to 180
4x - 13 + 15 + x + 18 = 180 ( simplify left side )
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
∠A = 4x - 13 = (4 × 32) - 13 = 128 - 13 = 115°
∠C = x + 18 = 32 + 18 = 50°
As a check : 115° + 15° + 50° = 180° ← correct
STEP 1
Equation at the end of step
((14 • (x2)) - 7xy) - (3•72y2)
Equation at the end of step 2
((2•7x2) - 7xy) - (3•72y2)
STEP 3
STEP 4
Pulling out like terms
4.1 Pull out like factors :
14x2 - 7xy - 147y2 = 7 • (2x2 - xy - 21y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 2x2 - xy - 21y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (2x - 7y)•(x + 3y)
