Answer:
h = 7.63 ft
Step-by-step explanation:
When a ladder leans against a wall, it forms a right angled triangle. The length of the ladder becomes the hypotenuse of the triangle, while the distance of the bottom of ladder from the wall and the height of top of the ladder from the ground becomes the perpendicular and base, depending upon the selected angle. Using Pythagora's Theorem in this right angled triangle:
Hypotenuse² = Perpendicular² + Base²
where,
Hypotenuse = Length of Ladder = 16 ft
Base = Distance between bottom of ladder and wall = x
Perpendicular = Height of top of of the ladder from ground = x + 6 ft
Therefore,
(16)² = x² + (x + 6)²
256 = x² + x² + 12x + 36
128 = x² + 6x + 18
x² + 6x - 110 = 0
solving the quadratic equation and using positive value:
x = 1.63 ft
So, the height of top of ladder is:
h = 1.63 ft + 6 ft
<u>h = 7.63 ft</u>
If x = 9 then f(x) = 12
answer
12
I can't answer this question if there is no figure given. The concept is that, the best fit line must be the line that is closest to all the points given. I found a similar problem online with a picture of the given choices as shown in the attached pictures.
<em> The best fit line must be the one drawn in the first picture attached.</em>
Answer:

Step-by-step explanation:
This arithmetic sequence begins with 19, and for each consecutive value it subtracts 5. Therefore, the rule for this is:

Hope this helps!
Answer:

Step-by-step explanation:

The radical symbol when used for a square root means the non-negative square root. You cannot state that sqrt(x^2) = x because x may be negative. That is why you need use the absolute value symbol.