Answer:
n = 
, n = 
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n =
2n - 1 = 0 ⇒ 2n = 1 ⇒ n =
RhTh + RsTs = 180 (Rh = 70, Rs=20 , Th = Ts)
70Th + 20Th = 180
90 Th = 180
Th = 2
since Th = Ts,
thus, Ts = 2
Answer:
1,736.17miles
Step-by-step explanation:
Let the total trip be x miles
If 47% of the total trip is 816, then;
47% of x = 816
0.47x = 816
Divide both sides by 0.47
x = 816/0.47
x = 1,736.17miles
Hence the total miles for the trip is 1,736.17miles
3.14 can be expressed as 3.141592653589793238462643383279 with 30 decimal places.
Answer:
x = 6
Step-by-step explanation:
∡J = ∡K and ∡M = ∡L
because this is an isosceles trapezoid
∡J + ∡M = 180°
because angles at opposite bases are supplementary
then ∡J + ∡M = 180°
∡J = (7x + 2)°
∡M = ∡L = (25x - 14)°
so:
(7x + 2 + 25x - 14)° = 180°
(32x - 12)° = 180°
32x = 180 + 12
32x = 192
x = 6
