Answer:
vertex = (- 2, - 36)
Step-by-step explanation:
Given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
f(x) = 5x² + 20x - 16 is in standard form
with a = 5, b = 20 and c = - 16
= - 
= - 2
Substitute x = - 2 into f(x) for corresponding y- coordinate
f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36
vertex = (- 2, - 36)
Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
x=34
Step-by-step explanation:
6 - ( x-7) ^ 1/3 = 3
Subtract 6 from each side
6-6 - ( x-7) ^ 1/3 = 3-6
- ( x-7) ^ 1/3 = -3
Divide each side by a negative
( x-7) ^ 1/3 = 3
Cube each side
( x-7) ^ 1/3 ^3 = (3)^3
x-7 = 27
Add 7 to each side
x-7+7 = 27+7
x = 34
Check
6 - ( 34-7) ^ 1/3 = 3
6 - (27^1/3 = 3
6 -3 =3
3=3
Good solution
The Volume of cylinder is 3770 cubic millimeters
But, the correct option is not available in options given.
Step-by-step explanation:
Height of cylinder = 3mm
Diameter of cylinder = 40mm
Volume of cylinder = ?
The formula used to find Volume of cylinder is:
Putting values in the formula:
Since we need radius,
radius = diameter/2
radius = 40/2
radius = 20 mm
So,
The Volume of cylinder is 3770 cubic millimeters
But, the correct option is not available in options given.
Keywords: Volume of cylinder
Learn more about Volume of cylinder at:
#learnwithBrainly
Answer:
PA) 8
PB) 45
Step-by-step explanation:
PA) Find the prime factors of each term in order to find the greatest common factor (GCF).
8
PB)
Step 1:
(8 x 5) + (16 x -1)
Step 2: Multiply
40 + 15
Step 3: Add
45
