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3 years ago

Given: 5n-42=12n prove: n=-6

Mathematics

2 answers:

Leviafan [203]3 years ago

6 0

Answer:

5n-42=12n

5n-42+42=12n+42

5n=12n+42

5n-12n=12n+42-12n

-7n=42

-7n/-7 = 42/-7

n= -6

Vikentia [17]3 years ago

3 0

Answer:

n=-6

Step-by-step explanation:

5n-42=12n

5n=12n+24

5n-12n=42

-7n=42

divide each side by -7

n does =-6

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Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

$m=\frac{-9+5}{1-3}$

$m=\frac{-4}{-2}$

$m=2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

<em>First case</em>

we have

$m=2$

$point\ (3,-5)$

substitute

$y+5=2(x-3)$

<em>Second case</em>

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

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3 years ago

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

madam [21]

Answer:

Step-by-step explanation:

Given system is

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

$2x+2=0\\x=\frac{-2}{2}=-1$

Then, we replace this value in one equation to find the other value

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3 years ago

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HACTEHA [7]

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remember the other rule
x^-m=1/(x^m) so
7^-2=1/(7^2)=1/49
answe ris A

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3 years ago

What is the y intercept of the parabola y = x2 + 22/5

maksim [4K]

Answer:

The y-intercept is 4.4

Step-by-step explanation:

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3 years ago

2y=-x+9<br>3×-6y=-15 whats the solution to the system

liq [111]

Answer:

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The solution is the value of x and y that will make the two equations true in the same time.

3x-6y = -15; divide both sides by 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

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Substitute x for 2

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Solution is (2, 3.5)

8 0

3 years ago

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