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3 years ago

Write an equation of the line that passes through the given point and is perpendicular to the given line.

1 answer:

Montano1993 [528]3 years ago

6 0

Perpendicular = opposite sign and reciprocal slope
Slope would be negative and reciprocal of 1/3, slope = -3
Plug into y = mx + b
y = -3x + b, plug in point
-4 = -3(-6) + b, b = -22
Solution: y = -3x - 22

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Tickets for admission to a high school football game cost $3 for students and $5 for adults. During 1 game, $2995 was collected

Sveta_85 [38]

Answer:

Number of student tickets = 325

Number of adult tickets = 404

Step-by-step explanation:

Let,

x be the number of student tickets

y be the number of adult tickets

According to given statement;

x+y=729 Eqn 1

3x+5y=2995 Eqn 2

Multiplying Eqn 1 by 3

3(x+y=729)

3x+3y=2187 Eqn 3

Subtracting Eqn 3 from Eqn 2

(3x+5y)-(3x+3y)=2995-2187

3x+5y-3x-3y=808

2y=808

Dividing both sides by 2

$\frac{2y}{2}=\frac{808}{2}\\y=404$

Putting y=404 in Eqn 1

x+404=729

x=729-404

x=325

Hence,

Number of student tickets = 325

Number of adult tickets = 404

4 0

3 years ago

Suppose the population of a certain city is 4735 thousand. It is expected to decrease to 4049 thousand in 50 years. Find the per

Brrunno [24]

Rounded to the nearest hundredth the population has decreased by 14.49% or 0.2898% per year

4 0

3 years ago

Determine the direction that this parabola opens y=x^2-6x

nalin [4]

Answer:

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

$ax ^ 2 + bx + c$ is true that:

if the main coefficient "a" is negative then the graph of the parabola opens downwards.

If the main coefficient "a" is positive, the parabola opens upwards

In this case the parabola is $y=x^2-6x$

Note that $a=1$ and $a>0$ therefore the graph of the parabola opens upwards.

8 0

3 years ago

Number of goals scored

Oksanka [162]

Answer:

a) 30 games

b) 66 points total

c) 2.2 points/ game

d) modal goals = 1

Step-by-step explanation:

a) 2 + 10 + 7 + 6 + 3 + 2 = 30 total games

b) (2*0) + (10*1) + (7*2) + (6*3) + (3*4) + (2*5)

0 + 10 + 14 + 18 + 12 + 10 = 66 total goals

c) 66 goals/ 30 games = 2.2 goals/ games

d) highest frequency of number of goals is 1 goal

8 0

3 years ago

Help with these math questions grade 12

nalin [4]

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

5 0

3 years ago