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2 years ago

What is the answer 5a - 3 = 8a + 6

2 answers:

7 0

Subtract 5a from both sides

-3=3a+6

Subtract 6 from both sides

-9=3a

Divide by three

a= -9/3 (which is -3)

Remember what you do to one side you must do to the other

Bingel [31]2 years ago

7 0

To find the answer you do:
5a-3=8a+6
5a-8a-3=8a-8a+6
-3a-3=6
-3a-3+3=6+3
-3a=9
-3a/-3=9/-3
a=-3
So a is equal to -3.

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3 years ago

Need help asap please

emmasim [6.3K]

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1 year ago

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slavikrds [6]

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Step-by-step explanation:

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2 years ago

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

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