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astraxan [27]
3 years ago
14

If the vertex of a parabola is (2,-9) and another point on the curve is (5,-18). What is the coefficient of the squared expressi

on in the parabola's equation?
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0
Parabola form : (y-k) = a(x-h)², where h and k are the vertex(h , k)
The vertex is given (2 , - 9), the equation of the parabola becomes:
y+9 = a(x-2)²
But we know this curve passes through (5, - 18)
Plug the respective values of x & y in the equation:
-18 +9 = a(5-2)² → - 9 = 9a & a = -9/9 and a= - 1
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Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in
Tju [1.3M]
The volume of the original prism is given by:
 V1 = (1/2) * (b) * (h) * (H)
 Where,
 b: base of the triangle
 h: height of the triangle
 H: prism height
 The volume of the prism with new dimensions is:
 V2 = (1/2) * (3b) * (3h) * (3H)
 Rewriting:
 V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
 V2 = (27) * (1/2) * (b) * (h) * (H)
 V2 = (27) * V1
 Answer:
 
The relationship between the volumes of the two prisms is:
 
V2 = (27) * V1
5 0
3 years ago
Read 2 more answers
CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!!
Rom4ik [11]
A=lw
42xy^3=(14xy)l
isolate l
divide both sides by 14xy to isolate l
(42xy^3)/ (14xy)=14xy / 14xy *l
the 14xy in the right cancel out
now you have:
42xy^3/14xy=l
42/14= 3, now just do division of powers for xy
x-x =0x, y^3-y= y^2
therefore the answer is 3y^2
6 0
3 years ago
A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input y
ivann1987 [24]

Answer:

3.25

Step-by-step explanation:

13÷4=3.25

Everyone gets 3.25 kg of chocolate

6 0
2 years ago
Read 2 more answers
Through: (4, -1), parallel to y = -3/4x
Arada [10]
Is this a algebra question? I just want to know?
8 0
3 years ago
Does anyone know 8-10?
Anon25 [30]
#8).
The volume of a cone is      (1/3) (pi) (radius of the round end)² (height)

That's the volume of the ice cream cone alone.

The volume of a sphere is    (4/3) (pi) (radius)³

The glob of ice cream on top is 1/2 of a sphere.
The sphere and the cone in this problem both have the same radius.

#9).
The volume of a cylinder is        (pi) (radius of the round end)² (height)

#10).
Another cylinder !
The volume of a cylinder is        (pi) (radius of the round end)² (height)


8 0
3 years ago
Read 2 more answers
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