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gavmur [86]
3 years ago
12

Simplify 6^9/6^3 20 characters :/

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

=46,656

Step-by-step explanation:

=6^9                               =6^3

=10,077,696                   =216

          =10,077,696 / 216

        =<u>46,656</u>

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The line x − y = 2 is on a coordinate plane and contains EF, which is one side of square EFGH. What is the slope of the line tha
Alborosie

Answer:

The slope of FG is -1

Step-by-step explanation:

Given

Square EFGH

EF: x - y = 2

Required

Determine the slope of FG

First, we calculate the slope of EF

x - y = 2

Make y the subject

-y = 2 - x

y = x -2

The general equation has the form: y = mx + b

Where

m = slope

Compare y = mx + b to y = x -2

m = 1

<em>From the name of the square EFGH, we can conclude that EF and FG are perpendicular</em>

<em />

The relationship between perpendicular lines is:

m_2 = -\frac{1}{m_1}

Where

m_1 = m = 1 -- Slope of EF

and

m2 = slope of FG

Substitute 1 for m1 in m_2 = -\frac{1}{m_1}

m_2 = -\frac{1}{1}

m_2 = -1\\

<em>Hence, the slope of FG is -1</em>

3 0
3 years ago
Halla la fracción generatriz de 32,3454545...
Vladimir79 [104]

answer:

creo que la respuesta es 32 690909/2000000

step-by-step explanation:

**los pasos están en la imagen**

buena suerte :)

espero que esto ayude

**por favor avíseme si esto es incorrecto / no es lo que estaba buscando o ambos**

que tenga un lindo día!

5 0
3 years ago
Urgent please help..
Strike441 [17]

Answer:

b = 7√3

Step-by-step explanation:

This 30°- 60°- 90° triangle has the proportions:

side opposite of the 30° angle = x

side opposite of the 60° angle = x√3

side opposite of the 90° angle = 2x

____________________________

Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.

Since x = 7, x√3 = 7√3, and therefore

b = 7√3.

8 0
3 years ago
What is the distance between the points (-4, 6) and (1, -6)?
Oksanka [162]

Answer:

The distance between these 2 points is 13.

Step-by-step explanation:

Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.

First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

-6-6=-12

Distance is an absolute value from 0, so -12 is the same as 12.

Next, find the horizontal distance between the x-coordinates.

1--4=5

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13

The distance between these 2 points is 13.

6 0
3 years ago
Find the distance between the points E(3, 7) and F(6,5).
zmey [24]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ E(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\qquad F(\stackrel{x_2}{6}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ EF=\sqrt{(6-3)^2+(5-7)^2}\implies EF=\sqrt{3^2+(-2)^2} \\\\\\ EF=\sqrt{9+4}\implies EF=\sqrt{13}\implies EF\approx 3.61

4 0
4 years ago
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