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3 years ago

Write 9*6 as a power with a base 3

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

$9=3^2\\6=3\cdot2\\\\9\cdot6=3^2\cdot3\cdot2=2\cdot3^{2+1}=2\cdot3^3\\\\Used:a^n\cdot a^m=a^{n+m}$

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Solve this System of equation 3c+6d=18 6c-2d=22

olga55 [171]

Answer:

$3x + 6y = 18 \: \: \: \\ + \\ 3 \times (6x - 2y = 22) \: \: \: 18x - 6y = 66 \\ \\ 21x = 84 \\ x = \frac{84}{21} = 4$

c=x=4

d=(18-3×4)÷6=6÷6=1=y

7 0

3 years ago

The difference between 3 times a number x and 2 is 19. What is the value of x?

Ber [7]

Answer:

the value of x is 7.

Step-by-step explanation:

2+19=21

21÷3=7

Check:

3×7=21

21-2=19

Therefore, 7 is the answer.

6 0

3 years ago

A line contains (9,y) and (-6,3). It has slope 2/3, find y

koban [17]

The line contains (9,y) and (-6,3) Then y is 13

Solution:

Given that a line contains (9, y) and (-6, 3)

Slope of line is $\frac{2}{3}$

To find: y

The slope of line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here }\left(x_{1}, y_{1}\right)=(9, y) \text { and }\left(x_{2}, y_{2}\right)=(-6,3)$

Substituting the values in formula,

$m=\frac{3-y}{-6-9}$

Substitute $m = \frac{2}{3}$

$\frac{2}{3}=\frac{3-y}{-6-9}$

2(-6 - 9) = 3(3 - y)

Multiplying the terms with terms inside bracket

-12 - 18 = 9 - 3y

Move the variable to one side

-30 = 9 - 3y

On solving we get,

3y = 30 + 9

3y = 39

Divide both sides by 3, we get

y = 13

Thus y = 13

6 0

4 years ago

IL GIVE YOU BRAINLIST !! * have to get it right * An equation for the line graphed is

Otrada [13]

Answer:

y = 3/2x+3

Step-by-step explanation:

The y intercept is 3. That is where it crosses the y axis

The slope is

m= (y2-y1)/(x2-x1) and we have points(0,3) and (-2,0)

= (0-3)/(-2,0)

=-3/-2

=3/2

Using the slope intercept form of a line

y = mx +b where m is the slope and b is the y intercept

y = 3/2x+3

3 0

3 years ago

X + 2y = -3 x - y = -12

Nastasia [14]

Answer:

x = -9, y =3

Step-by-step explanation:

x + 2y = -3

x - y = -12

Subtract to two equations to eliminate x

x + 2y = -3

-x + y = 12

---------------------

3y = 9

Divide each side by 3

3y/3 = 9/3

y = 3

Now we can find x

x-y =-12

x - 3 = -12

Add 3 to each side

x-3+3 = -12+3

x = -9

5 0

4 years ago

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