B. 9^2
explanation: 3^4 is equivalent to 3*3*3*3, which is 81
9^2 (9*9) also equals 81
Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6
Answer:
$2000x(1.03)ˣ
Step-by-step explanation:
This is known as compound interest.
100% + 3% = 103%, so we put this into a decimal: 1.03
We now put this into the equation:
$2000x(1.03)ˣ
If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes
$2000x(1.03)³
You can then use a calculator to work out the answer.
Answer:
28.3 feet
Step-by-step explanation:
Given a tree 41.8 feet tall casts a shadow that is 27 feet long
So the Tangent of the angle of the sahdow remains the same for the both trees.
We know that 
Therefore the height of the tree is 28.3 feet
Answer:
The ladder reach a height 8.485 ft.
Step-by-step explanation:
The ladder with the building made right angle triangle
The length of the ladder is the hypotenuse 12 ft.
The angle between the ladder and the building is 45°
The height of the ladder reach is the vertical side of the Δ
∴ h = 12 cos 45° = 6√2 = 8.485 ft.
