Can someone please help me? I solved all the sides but when I add it up I don't get any of the options :(

A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or par

ElenaW [278]

The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

$-7x+3y=-21.5$

Convert it to the general form given below:

$\rm y=mx+c$

$\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x$ or

$\rm y = \frac{7}{3}x-\frac{21.5}{3}$

$m = \frac{7}{3}$ (Slope of AB line)

For the slope(m') of the PQ line:

$\rm m'=-\frac{1}{m}$ ( because AB and PQ are perpendicular to each other)

$\rm m' = -\frac{3}{7}$

We know the:

$\rm (y-y')=m'(x-x')$

Where (x', y') = (7, 6), we get:

$\rm (y-6)=-\frac{3}{7} (x-7)$

$\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63$

$\rm -1.5x-3.5y=-31.5$ (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5

Learn more about the straight line.

brainly.com/question/3493733

6 0

1 year ago

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

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

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

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

Jason went to a carnival where he could goon all rides for a flat fee of $30 but he had to pay $2 for each arcade game he played

enot [183]

Answer:

He played 7 arcade games.

Step-by-step explanation:

The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

$A(n) = F + gn$

In which F is the flat rate and g is the price of each game.

Flat fee of $30 but he had to pay $2 for each arcade game he played.

This means that $F = 30, g = 2$

So

$A(n) = 30 + 2n$

Jason spent $44. How many arcade games did he play?

This is n for which A(n) = 44. So

$A(n) = 30 + 2n$

$44 = 30 + 2n$

$2n = 14$

$n = \frac{14}{2}$

$n = 7$

He played 7 arcade games.

4 0

2 years ago

a diver went down 25.55 feet below the surface of the ocean and then 19.5 feet the fruther down he then rose 12.75 feet and solv

Elza [17]

-24.3 feet

-22.55-19.5 is -42.05

-42.05+ 17.75 is -24.3

6 0

3 years ago

Driving at the speed limit, it takes you 2 hours to drive your delivery truck 100 miles. assuming you drive at the same speed, h

Varvara68 [4.7K]

Speed is the rate of change of distance.
the speed of the truck for the 100 miles within 2 hours is
speed = 100 miles travelled / 2 hours taken
speed = 50 miles/hour
assuming that the driver drives at 50 miles/hr
the time taken to drive 50 miles is - 1 hour
therefore to drive 300 miles - it takes - 300 miles / 50 miles/hr
the time taken is - 6 hours
it takes 6 hours to drive for 300 miles

3 0

3 years ago