Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height
N - 7 = 9 if you want it written in equation form
Answer:
1st number: 22
2nd number: 16
3rd number: 64
Step-by-step explanation:
x + y + z = 102
x = 6 + y
z = 4y
plug that in!
(6 + y) + y + (4y) = 102
get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.
6 + 6y = 102
move 6 to the other side.
6y = 96
y = 16
now that you know one number, you can solve the equations for the rest!
x = 6 + (16)
z = 4(16)
__________________________________________________________
x = 22
y = 16
z = 64
no se sabe
Step-by-step explanation:
knwiowkwkwnwkkwmwnw w w.qosmsls.w
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
