Answer:
the lateral area of the regular prism is 30 cm².
Step-by-step explanation:
Given;
the base of the regular prism, b 4cm
height of the prism, h = 2.5 cm
The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.
L.A = P x h
where;
P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)
P = 12 cm
L.A = 12 cm x 2.5 cm
L.A = 30 cm²
Therefore, the lateral area of the regular prism is 30 cm².
Given :
Set of x-intercepts {-3,1,7},
point through which it passes (-2,54)
Now,
Step 1: Substitute value of x intercepts in equation, , we get,
... equation (1)
Step 2: substitute x an y with the point through which it passes,
∴
Step 3: Now, substituting value of a in equation (1), we have
(Requited cubic equation)
C. -4/3