Write each binomial square as trinomial [tex](x-1)^2[/tex]

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

If you want to learn more about translations, you can read:

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6/12

- 1/12

= 5/12

6 - 3 = 3

= 3 5/12

Answer:

3/13?

Step-by-step explanation:

Answer:

one million one hundred thousand three hundred

Answer:

W is 6

L is 19

Step-by-step explanation:

L= 4W - 5

P= 2L + 2W

P= 2(4W-5) +2W

50=8W -10 +2W

60 = 10W

W= 6

L= 19

Answer:

9j

Step-by-step explanation:

vector AB means going to B from A.

= pos. final - pos. initial

= pos.B - pos.A

= (2i + 4j) - (2i - 5j)

= 2i + 4j - 2i + 5j

= 9j

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

Answer: A) 416745x^2 |  B) 57624x^2

How to:  The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Have a great day and stay safe ! sorry if im wrong

Answer: third option 60t + 24t

Step-by-step explanation:

Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

The answer should be "B" (The area of △RST is equal to the area of △LMN.)

The area of ΔRST is equal to the area of ΔLMN.

We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],

then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)

In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)

Area of ΔRST =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                      =  [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |

                      =  [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10-4+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔRST =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Again, Area of ΔLMN =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                                   =  [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |

                                   =  [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |

                                   =  [tex]\frac{1}{2}[/tex] | -4-6 |

                                   =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔLMN =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Hence, we can say that, the area of ΔRST = the area of ΔLMN

Learn more about area of a triangle from its vertices here :

https://brainly.com/question/17335144

#SPJ2

Answer:

1) supplementary

2) complementary

Step-by-step explanation:

1) FGH= 109 JKL=71

109+72=180

2) AED=45 BEC=45

45+45=90

Answer:

the answer is simple

Step-by-step explanation:

hope you got mu explanation

Answer:

6 sin 32°

Step-by-step explanation:

Hope this helps :)

Answer:

$496,800

Step-by-step explanation:

Present cost = $480,000

%increase = 3.5%

Present price of the house = 480,000 + 3.5% of 480,000

= 480,000 + 0.035 * 480,000

= 480,000 + 16,800

= $496,800

Present price of the house = $496,800

Answer:

function A

Step-by-step explanation:

_______________

Answer:

Step-by-step explanation:

5/6.

use that alternate exterior angles are congruent

3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x

use that lines form 180°

y+ 5x-64= 180

y= 180 +64 -5*32; y= 84

7/8.

use that alternating exterior angles are congruent

x=86

use that same side exterior angles are supplementary

x+y = 180; y= 180 -86; y= 94

9/10.

use that vertical angles are congruent

2y=59; y= 59/2; y= 29.5

use that alternate exterior angles are congruent

3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21

Answer:

48 packages

Step-by-step explanation:

recipicate 1/4 which is 4 the multiply by 12

Hope this helps!!!

Answer:

48

Step-by-step explanation:

1/4 = 0.25

12 / 0.25 = 48

You can make 48 packages.

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

Answer:

[tex]Area = 26478cm^2[/tex]

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

[tex]Area = \frac{\pi r^2}{2}[/tex]

Where

[tex]r = 60cm[/tex]

So:

[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]

[tex]A_1 = \frac{11304}{2}[/tex]

[tex]A_1 = 5652cm^2[/tex]

Next, the area of the complete trapezium

[tex]Area= \frac{1}{2}(a + b) * h[/tex]

Where

[tex]a = 300[/tex]

[tex]b = 2 * r = 2 * 60 = 120[/tex]

[tex]h = 153[/tex]

So:

[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]

[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]

[tex]A_2 = 32130cm^2[/tex]

The area of the desk is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = 32130cm^2 - 5652cm^2[/tex]

[tex]Area = 26478cm^2[/tex]

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

Answer:

With 3 dots, you can only draw 1 triangle.

Step-by-step explanation:

All Triangles must have 3 sides, and 3 angles.

Note:

Pls, brainliest.

Thank you!

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Answer:

B

Step-by-step explanation:

Domain is the x value and it is asking your for the coordinates with the same x value.

Answer:

7.8 to 1 decimal place

Step-by-step explanation:

70 pounds for 9 acre

for one acre it'll be 70/9

7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number

Answer:

7/9 pounds

Step-by-step explanation:

I did 70/9 to get 7/9 pounds

Answer:

12barras

Step-by-step explanation:

Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?

De la pregunta anterior:

4 personas = 2 barras de pan

24 personas = x

Multiplicar cruzada

4 × x = 24 × 2 barras de pan

x = 24 × 2 barras de pan / 4

x = 12 barras de pan

Answer:

40%  properties  are Semi-detached

Step-by-step explanation:

Given,

Percentage of Bungalow = 10%

Percentage of Detached properties = 30%

Percentage of Apartments = 20%

∴Total percentage of properties deducting the  semi-detached properties

= (10 + 30 + 20) %

= 60%

∴ Percentage of semi detached properties = (100 - 60) %

                                                                        = 40%

So, 40% properties are Semi-detached.

Answer:

Lysosomes

Step-by-step explanation: