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3 years ago

What is the translation for this graph?

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

Answer:

It's the second option

Step-by-step explanation:

The x moves over to the right for a positive 3

The y moves up for a positive 4.

Hope this helps! :)

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The binomial 8x+6 is equivalent to

andreyandreev [35.5K]

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2 *4x = 8x and 2 * 3 = 6, to get 8x 6

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12. Use a trigonometric ratio to find the measure of O in the triangle below. Give your answer to the nearest degree.

larisa [96]

Given :-

A right angled triangle with two sides 10cm and 9cm .

To Find :-

The value of theta .

Solution :-

At angle theta , 9cm side will be considered as the perpendicular and 10cm side will be hypotenuse . So , as we know that ;

$\longrightarrow sin\theta =\dfrac{perpendicular}{hypotenuse}$

Substituting the respective values,

$\longrightarrow sin\theta =\dfrac{9cm}{10cm}$

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$\longrightarrow sin\theta= 0.9$

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$\longrightarrow \theta =sin^{-1}(0.9)$

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Hence the required answer is 64.15° . 

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2 years ago

Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.

Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

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2 years ago

SOMEONE PLEASE HELP ME

soldier1979 [14.2K]

<h2>The power of 5 is 9, which is an odd number. Therefore, it is not a square number or a perfect square.</h2>

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3 years ago