Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
B. 10n-207
Step-by-step explanation:
Given,
The average number of points of 9 games = 23,
∵ Sum of observations = their average × number of observations
So, the total points for 9 games = 9 × 23 = 207,
Now, if the average of 10 games is n,
Then the total points for 10 games = 10n,
Hence, the number of points earned in 10th game = the total points for 10 games - the total points for 9 games
= 10n - 207
i.e. OPTION B is correct.
1. 500000 cm
2. 16 pints
3. 480 mL
4. 2640 ft
For the angle MPN we know that is oposite to the angle QPL so the will be equal so:
Now with the value of MPN we can made an equation for x so:
and we solve for x
and the angle LPM will be the complementari angle of 125 so:
Formula of surface area of a sphere is 4
.
Hence it is 4
