Answer:
(x-6) (2x+1)
Step-by-step explanation:
1) move everything over to the left side, so subtract 11x and 6.
2x^2 -11x - 6 = 0
2)multiply 2(a term) with -6 (c term)
x^2 -11x -12
3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1
(x-12) (x+1)
4) divide -12 and 1 by the original a term (2)
(x-6) (x+1/2)
5) move the denominator of 2 over to the x.
(x-6) (2x+1)
Answer:
He has 3 quarters , 6 dimes and 16 nickles
Step-by-step explanation:
∵ Dimes is d , Quarter is q , nickels is n and pennies is p
∵ Quarter = 25 cents
∵ Dime = 10 cents
∵ Nickle = 5 cents
∵ Penny = 1 cent
∵ The remaining 35 coins are pennies ⇒ 35 cents
∵ He has $2.50 = 2.50 × 100 = 250 cents
∴ The value of quarters , dimes and nickels = 250 - 35 = 215 cents
∴ 25q + 10d + 5n = 215 ⇒ (1)
∵ d = 2q
∴ q = 1/2d ⇒ (2)
∵ n = 10 + d ⇒ (3)
Substitute (2) and (3) in (1)
∴ 25(1/2 d) + 10d + 5(10 + d) = 215
∴ 12.5d + 10d + 50 + 5d = 215
∴ 27.5d = 215 - 50
∴ 27.5d = 165
∴ d = 165 ÷ 27.5
∴ d = 6
∴ q = 1/2 (6) = 3
∴ n = 10 + 6 = 16
∴ He has 3 quarters , 6 dimes and 16 nickles
9514 1404 393
Answer:
1.4
Step-by-step explanation:
We want to find the multiplier n such that ...
arc length = n × radius
n = arc length / radius = (9.8 cm)/(7 cm)
n = 1.4
The subtended arc is 1.4 times as long as the circle's radius.
Answer:
99
Step-by-step explanation:
5x^2 -4x -9
5(-2)^2 -4(-2) -9
-10^2 +8 -9
100-1
99
Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2
