Answer:
r = 105
Step-by-step explanation:
Given quadratic equation:
x² − 9x − 6
Quadratic formula is given by:
(-b ± √b² - 4ac) ÷ 2a
For the equation: x² - 9x - 6
a = 1, b = -9 and c = -6
Substitute in the quadratic formula:
(-b ± √b² - 4ac) ÷ 2a
(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1
= 9 ± √105 / 2
The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2
Therefore, the value of r is 105
Answer:
12.
Step-by-step explanation:
Average rate of change = (value of the function when x = 9 - value when x=3)
/
(9 - 3)
= f(9) - f(3) / (9-3)
= (9^2 - 3^2) / (9-3)
= 72 / 6
= 12.
Answer:
Cos A = 24/25 & Tan A = 7/24
Step-by-step explanation:
See the attached figure.
Construct a right triangle and sign one angle as A
So, Sin A = opposite/hypotenuse = 7/25
∴hypotenuse = 25 and opposite = 7
∴ adjacent = √(25² - 7² ) = √576 = 24
∴ Cos A = adjacent/hypotenuse = 24/25
And
Tan A = opposite/adjacent = 7/24
The first step to solving this expression is to reduce the numbers with 9.
-7 × 16
Now we need to multiply the two numbers together using the Rules of Signs for Multiplication. They state that multiplying a negative and a positive equals a negative: (-) × (+) - (-). Keeping this in mind,, when you multiply the two numbers together you should get -112.
Let me know if you have any further questions
:)
