Write an equation that represents the cost of tickets from Ticket System.

Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4).

musickatia [10]

Hi there!

The equation of any line perpendicular to
$ax + by = c$
is
$bx - ay = c$

Therefore, in this situation, the formula of the line would be
$9x - 3y = c$

Given that the line passes through the point (6, 4) we get
$9 \times 6 - 3 \times 4 = c$
$54 - 12 = c$
$c = 44$

Therefore, the equation of the line that is perpendicular to 3x + 9y = 7 and passes through (6, 4) is
$9x - 3y = 44$

7 0

3 years ago

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If you roll two fair six-sided dice, what is the probability that at least one die shows 3?

tiny-mole [99]

Answer:

P(3) = 1/12

Step-by-step explanation:

12 is the denominator because you have two die with six sides.

5 0

3 years ago

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What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

= ( y2 - y1) / ( x2 - x1) 

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

3 0

3 years ago

4-(3-5)=? -4 -2 6 12

fredd [130]

The answer is 6.....

3 0

3 years ago

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superman can fly at a rate of 60 miles per 4 minutes. At this rate, how long will it take superman to go from metropolis to goth

Jlenok [28]

This is a proportion problem involving cross multiplication.
$\frac{60}{4}$ = $\frac{340}{x}$

Now first multiply 340 x 4 which equals 1,360
Now divide that number by 60 to get your X value
Answer is 22.67 minutes or 23 if it needs to be rounded (that depends on your teacher).

3 0

3 years ago