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3 years ago

What are the coordinates of the vertex for f(x) =3x^2+6x+3

1 answer:

6 0

The x-coordinate of the vertex can be found by -b/2a where the equation is ax^2 + bx + c

3x^2 + 6x + 3

b is 6, and a is 3

-b/2a = -6/2(3) = -6/6 = -1

The x-coordinate of the vertex is -1. To find the y-coordinate plug the x-coordinate into the equation and solve for y.

f(-1) = 3(-1)^2 + 6(-1) + 3
= 3(1) - 6 + 3
= 3 - 6 + 3
= 0

The y-coordinate is 0

The vertex is (-1, 0)

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A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?

Tems11 [23]

Answer:

Nope

Step-by-step explanation:

To now if a triangle is a right angle, use Pythagoras Theorem,

a^2 + b^2 = c^2

C usually be the longest side of the triangle, C = 17

Then also let a and b be 6 and 13 respectively.

6^2 + 13^2 =205

C^2 = 205

C = sqrt(205) = 14.32

therefore no this is not a right angle triangle

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2 years ago

2[3(4^2 +1)] - 2^3.

Sav [38]

Answer:

Step-by-step explanation:

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3 years ago

Solve the system of equations using matrices. Use the Gauss- Jordan elimination method And find a solution set

KATRIN_1 [288]

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1 year ago

If two supplementary angles are in the ratio of 4:5 the measure of the larger angle is

dimulka [17.4K]

Answer:

Step-by-step explanation:

Let the angles be 4x , 5x

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9x = 180

x = 180/9

x = 20

Larger angle= 5x = 5* 20 = 100

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3 years ago

21) Answer the question using the information given. Special cube-shaped dice are manufactured having side lengths of in. The di

Elenna [48]

Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value

answer = Volume of rectangular prism box / volume of cube

Step-by-step explanation:

To determine the number of Dice that will fit in the rectangular prism box

First : calculate the volume of the cube box ( dice )

volume of a Cube box : V = L^3 where L = side length

next : calculate the volume of the rectangular prism box

volume of rectangular prism box = L * b * h

L= length , b = width , h = height

final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )

= ( L * b * h ) / ( L^3 )

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3 years ago