32x^3+4x^2+41x-35
hope it helps
10 = 2y + 4
6 = 2y
y = 3
18 = 10 + 2x
8 = 2x
x = 4
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.
a = height of tree = ?
b = distance from the bird on the ground to the base of the tree = 8 metres
c = distance bird travelled from the ground to the top of the tree = 9 metres
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 = 9^2 - 8^2
a = square root of ( 9^2 - 8^2 )
a = square root of ( 81 - 64 )
a = square root of ( 17 )
a = 4.123...
a = 4.1 ( rounded to the nearest tenth )
FINAL ANSWER:
Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
The value of h'(7) = 44 .
Step-by-step explanation:
Given:
f'(7)=9 and g(7)= 5
We have to find : h'(7)
Also,
⇔ 
...equation (i)
Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:
⇔ 
⇔
Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:
⇔ 
⇔ 
⇔ 
So the value of h=(7) = 44 .
9514 1404 393
Answer:
53 shares
Step-by-step explanation:
If we assume the price remained constant, then the number of shares increased by 6%.
(50 shares)(1 +6%) = 53 shares
The man then owned 53 shares.
