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Tanzania [10]
3 years ago
14

Which form most quickly reveals the vertex?

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer:

Step-by-step explanation:

A

A will give you the roots (the x intercepts) just by reading the numbers and doing a small adjustment.

x + 1 = 0

x = - 1            So one of the roots is (-1,0)

x + 5= 0

x = - 5           The other root is (-5,0)

A is not the answer.

B

I have graphed B so that you can see that A is true. See below, Even so, B is in standard form and it is not the answer.

C

The answer is C. The vertex is at 2,27

x - 2 = 0

x = 2

The maximum value is located at 27 which is just read.

That point (2,27) is plotted on the graph.

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What is the solution set to the equation (2x−4)(4x−5)=0?
STALIN [3.7K]
Answer: A. (5/4, 2)
Explanation:
2x-4=0
4x-5=0

2x=4
4x=5

x=2
x= 5/4
3 0
3 years ago
kofi and kojo were given 380 to share .kojo had 75 more than kofi. If kofi share is x find an expression for kojo share​
AleksAgata [21]

Answer:

227.5

Step-by-step explanation:

x=Kofi

x+75=Kojo

   x+x+75=380

    2x+75=380

          2x=305

             x=152.5

       Kojo=152.5 plus 75

               227.5

4 0
3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
4 years ago
Need some help with this question in the image<br><br>Cheers​
iren [92.7K]

Step-by-step explanation:

a) 24.7×52.3=1291.81

On rounding off to 3 significant digits we get

1290

b)

\sqrt{ {42}^{2} -  {28}^{2}  }

\sqrt{1764 -784 }  =  \sqrt{980}

=31.304951

On rounding off to 5 significant figures we get

=31.305

c)

\sqrt[3]{78}  = 4.27265

On rounding off to 2 significant figures we get

=4.3

Hence required answers

a)1290

b)31.305

c)4.3

I hope it helped you

5 0
2 years ago
PLEASE HELP!! I NEED MATHEMATICIANS ON THIS POST!!
aalyn [17]

Answer:

60 * 40% = 24

Step-by-step explanation:

just use a calculator

7 0
3 years ago
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