Answer:
The diameter is 47
Step-by-step explanation:
Given
--- Circumference

Required
Determine the diameter (d)
The circumference of a circle is:

Make d the subject



Volume of prism B=800*6³/8³
=800*27/64
=25*27/2
=575/2
=287.5 cm³
The angles inside a triangle add up to 180°
The 3rd angle is supplementary to (6x+1)°
Supplementary means they make a straight line (i.e 180°)
1st angle = 79°
2nd angle = (2x+10)°
3rd angle = 180° - (6x+1)°
180 = 79 + (2x+10) + 180 - (6x+1)
180 = 79 + 2x + 10 + 180 - 6x - 1
combine like terms
180 - 180 - 79 - 10 + 1 = 2x - 6x
-88 = -4x
-88/-4 = x
22 = x
Answer:
C) Domain is {2}, Range is {2, 3}
Step-by-step explanation:
For one value of x there are two values of y, which contradicts the definition of a function.
Definition of a function:
A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.
<em>All the other options follow this definition except C</em>
Begin by finding the lowest point the quadratic equation can be, the vertex;
x²-1= is just a translation down of the graph x²
vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}.
For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers.
Hope I helped :)