<h2>Common ratio = -1/2</h2>
Step-by-step explanation:
term of a Geometric progression is given as
. The first term is given as
.
Any general Geometric progression can be represented using the series
.
The first term in such a GP is given by
, common ratio by
, and the
term is given by
.
In the given GP, 
∴ Common ratio is
.
Answer:
Step-by-step explanation:
First we need to find the score of the incorrect answers and the questions that were not answered.
Score for the incorrect answers = 4*(-2) = -8
Score for the questions not answered = 6*(-1) = -6
Score for the questions answered correctly = 106 - [ (-8) + (-6) ]
= 106 -[-14]
= 106 + 14
= 120
Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer
= 120 ÷ 4
= 30
30 questions were answered correctly.
Answer:
x=8
Step-by-step explanation:
If it's a vertical line that means it's "sticking straight up" in a sense, so your line would go through all values of 8.
Answer:
<u>False</u>: C. Completing the square can be used to solve the given equation.
Step-by-step explanation:
First of all, no equation is given. Any answer that suggests a way of finding solutions to the given equation will be false.
The statement of B is debatable. The method of completing the square is most often used for quadratics, but might reasonably be applied in any situation where a perfect square can be created by regrouping the terms.
Statements A and D essentially say the same thing. Both are true. That fact makes statement C false. Statement C is the one you're looking for.
Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
_____
The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent