Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
Step-by-step explanation:
The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that 
cm. Plugging this into the equation, you get 
. Hope this helps!
Answer:
Step-by-step explanation:
We are given the function:
And we want to finds its zeros.
Therefore:
Firstly, we can divide everything by -4:
Factor out an x:
This is in quadratic form. For simplicity, we can let:
Then by substitution:
Factor:
Substitute back:
By the Zero Product Property:
Solving for each case:
Therefore, our real and complex zeros are:
(A) 5x+2y=21
(B) -2x+6y=-34
multiply (A) by - 3→ -15x - 6y = - 63 (C)
Now add (C) to (B):
-15x - 6y = - 63 (C)
-2x + 6y =-34 (B)
----------- --------
-17x = - 97 and x = 97/17
Now replace x value in any of the equation and you'll find y = - 64/17
1st Answer (97/17 , - 64/17)
2nd Answer : 97/17 + (-64/17) = 97/17 - 64/17 = 33/17 ≈ 2
Answer:
A Pixel is a minute area of illumination on a display screen
