Hello:
an equation is : f(x) = a(x-4)² - 3
the point (5 , -6)in parabola : --6 = a(5-4)² --3
-6 =a -3
a =-3 is <span>the coefficient of the squared expression in the parabola equation</span>
Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
<em>When a </em><em>right triangle is rotated about its vertical leg 360°</em><em>, then it formed </em><em>a cone</em><em> its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.</em>
The rule of the volume of the cone is V =
π r² h, where
- r is the radius of its base
- h is the length of its height
∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵ 
∵ YX = 6√3
∴ 
∵ tan(60) = √3
∴
= √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V =
(π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
45^3 is 45 times 45 times 45. The answer is 91 125.
Y= mx +b
Y= 2x -5
You have to find what is x
Answer:
A
Step-by-step explanation:
y= x+1 at the same time y=4x+5
x+1= 4x+5, so answer is A