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mixer [17]
4 years ago
12

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Mathematics
1 answer:
Olegator [25]4 years ago
7 0

we know that

To find the equation in vertex form, we need to factor the function

so

f(x) = x^{2} - 2x - 6

Complete the square. Remember to balance the equation

f(x) = x^{2} - 2x +1-1- 6

f(x) = x^{2} - 2x +1-7

Rewrite as perfect squares

f(x) = (x-1)^{2} -7

in this problem

the vertex is the point (1,-7)

therefore

the answer is

The function written in vertex form is equal to f(x) = (x-1)^{2} -7

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Please help and show your work
Elis [28]

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are equal.

VT = SR

8x- 17 = 15   {Add 17 to both sides}

8x = 15 + 17

8x = 32    {divide both sides by 8}

x = 32/8

x = 4

Corresponding parts of congruent triangles are equal.

∠V = ∠S = 60°

∠W = ∠U = 90°

∠T = ∠R = 2y + 20

In Δ VUT,

∠V + ∠U + ∠T = 180  {Angle sum property of triangle}

60 + 90 + 2y + 20 = 180

2y + 170 = 180

2y = 180- 170

2y = 10

y = 10/2

y = 5

5 0
3 years ago
Which ratio is not equivalent to the other three?<br> A. 6/15 B 18/45 C 12/25 D 2/5
Sedaia [141]

Step-by-step explanation:

C that is 12/25.

others are × by 3

5 0
3 years ago
Read 2 more answers
Help please. I appreciate your help.​
Shkiper50 [21]

Answer:

Step-by-step explanation:

take x degree as reference angle

using tan rule

tan x=opposite/adjacent

tan x=45/35

tan x=1.285

x=tan^{-1}1.285

x=52.10 degree

x=52.1 degree

7 0
3 years ago
Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle. She ar
-Dominant- [34]
The right answer for the question that is being asked and shown above is that: "180 - line." Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle.She arranged the three angles <span>connected together such that the three corners of the triangle were all touching.</span><span> </span>
8 0
3 years ago
From a piece of paper, Sam cuts a rectangle with a length that is 2 inches (in.) longer than the width. He tapes a straw to the
Ksivusya [100]

Answer:

c)A cylinder with a volume of  π(w³ +2w² )in³

 where w represents the width of the cylinder.

Step-by-step explanation:

A cylinder with a volume of  π(w³ +2w² )in³

 where w represents the width of the cylinder.

The  volume of a cylinder is given by  V=Bh or V=πr²h

where B is the area of the base and h is the height of the cylinder.

V=πr²h-------equation1

V= π(w³ +2w² )--------- equation2

Comparing equation 1 and equation 2

πr²h=π(w³ +2w² )

r²h=(w³ +2w² )

r²h= w²(w +2 )

Taking w² common leaves w+2 which gives the height or length of the cylinder.

Therefore radius = width and height = length which gives the volume of the cylinder.

8 0
3 years ago
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