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3 years ago

I need these answers checked to see if I did them correctly.

Mathematics

1 answer:

madam [21]3 years ago

4 0

They look correct to me!

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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.

8 0

2 years ago

HELP ASAP!

Arturiano [62]

Answer:

Step-by-step explanation:

5 0

2 years ago

Thomas bought a desk with a retail sales price of $129 and paid $10.32 sales tax. What is the sales tax rate where Thomas bough

ss7ja [257]

8% because 129x0.08=10.32

7 0

3 years ago

Read 2 more answers

The equation y=7.6x represents a proportional relationship. What is the constant of proportionality?

SCORPION-xisa [38]

I’m not too sure fam

8 0

2 years ago

Read 2 more answers

Write an equation of a line in slope intercept form that passes through the given points:

GarryVolchara [31]

Answer:

The answer is y= -1/3x-5

Step-by-step explanation:

(9, -8) and (-6, -3)

m= y²-y¹/x²-x1

m= (-3)-(-8)/(-6)-9

m= 5/-15

m=-1/3

y=mx+b

y=-1/3x+b

-3=-1/3(-6)+b

-3=2+b

-2 -2

-5=b

The answer is y=-1/3x-5

3 0

3 years ago