(4x - 2) x (12x +42) (I distributed the 6 over the 2x and the 7)
Using the FOIL method
First terms (in each parenthesis) 4x times 12 x = 48x²
Outer terms 4x times 42 = 168x
Inner terms -2 times 12 x = -24x
Last terms -2 times 42 = -84
So we have 48x² + 168x + 168x - 24x -84
Finally combine like terms:
48x² + 144x - 84 There's your quadratic expression
Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
Answer:
3
Step-by-step explanation:
1 and 1/3----------Hope I helped....
If these coordinates are translated two units down, we will subtract 2 units from the y axis to have A(2, -1), B(0, -3) and C(2, -3)
<h3>Translation of coordinate point</h3>
Translation is a transformation technique of changing the position of an object on the xy-plane.
Given the following coordinate of a triangle expressed as:
A(2, 1)
B(0, -1)
C(2, -1)
If these coordinates are translated two units down, we will subtract 2 units from the y axis to have:
A(2, -1)
B(0, -3)
C(2, -3)
Learn more on translation here; brainly.com/question/1046778
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