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bija089 [108]
3 years ago
5

Question 11 and 12 please help

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

11. 10

12. 13

Step-by-step explanation:

Use the distance formula.

11.

(3, 4) and (-3, -4)

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(-3 - 3)^2 + (-4 - 4)^2}

d = \sqrt{(-6)^2 + (-8)^2}

d = \sqrt{36 + 64}

d = \sqrt{100}

d = 10

12.

(0, 0) and (-5, -12)

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(-5 - 0)^2 + (-12 - 0)^2}

d = \sqrt{(-5)^2 + (-12)^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

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Answer:

2+2=4

Step-by-step explanation:

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Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter
Rudik [331]

Answer:

y=-6x+10

Step-by-step explanation:

The point of intersection of

x+2y=9...eqn1


and


4x-2y=-4...eqn2

is the solution of the two equations.


We add equation (1) and equation(2) to get,

x+4x+2y-2y=9+-4


\Rightarrow 5x=5


\Rightarrow x=1

We put x=1 into equation (1) to get,

1+2y=9

\Rightarrow 2y=9-1

\Rightarrow 2y=8

\Rightarrow y=4


Therefore the line passes through the point, (1,4).


The line also passes through the point of intersection of

3x-4y=14...eqn(3)

and

3x+7y=-8...eqn(4)

We subtract equation (3) from equation (4) to obtain,

3x-3x+7y--4y=-8-14


\Rightarrow 11y=-22

\Rightarrow y=-2


We substitute this value into equation (4) to get,

3x+7(-2)=-8


3x-14=-8


3x=-8+14


3x=6

x=2

The line also passes through

(2,-2)



The slope of the line is

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The equation of the line is

y+2=-6(x-2)

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y=-6x+10 is the required equation





4 0
3 years ago
Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
gregori [183]

Answer:

7) 4 \ log_3(x) - 4 \ log_3(y)

9) 5log_4(7) - 5log_4(12)

11) 5log_5 \ (x) - log_5 \ (y)

Step-by-step explanation:

log_3 (\frac{x}{y})^{4}

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

Use Logarithm of a Quotient which states

log_b \frac{M}{N}  = log_b M-log_bN

And also use Logarithm of a Power which states

log_b\ M^{n} = n\log_bM

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

So using these two properties,

7. 4 \ log_3(x) - 4 \ log_3(y)

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

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

For #9, use the same logarithm propertied

log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)

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

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#11 is also the same concept

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Hope this is what you were looking for and helps you! Have a nice day/night :)

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3 years ago
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We rewrite in terms of i^2

i^{22}=(i^2)^{11}

i^{22}=(-1)^{11}

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5 0
3 years ago
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