MATHEMATICS HIGH SCHOOL

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?See attachment below for picture/answer choices

Answers

Answer 1

Answer:

Answer:

$-1.5x-3.5y=-31.5$

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

$m1*m2=-1$

In this problem line AB and line PQ are perpendicular

Step 1

Find the slope of the line AB

The equation of the line AB is

$-7x+3y=-21.5$

isolate the variable y

$3y=7x-21.5$ ------> $y=(7/3)x-21.5/3$

The slope of the line AB is equal to

$m1=7/3$

Step 2

Find the slope of the line PQ

remember that

$m1*m2=-1$

we have

$m1=7/3$ ----> slope line AB

substitute and solve for m2

$(7/3)*m2=-1$

$m2=-3/7$

Step 3

Find the equation of the line PQ

The equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-3/7$

$P(7,6)$

substitute

$y-6=(-3/7)(x-7)$

$y=(-3/7)x+3+6$

$y=(-3/7)x+9$ -----> multiply by $7$ both sides

$7y=-3x+63$

$7y+3x=63$ -----> divide by $2$ both sides

$1.5x+3.5y=31.5$ -----> multiply by $-1$ both sides

$-1.5x-3.5y=-31.5$

Answer 2

Answer: its B -1.5x − 3.5y = -31.5

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Answers

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Answers

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Answers

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Answers

Since percent is mostly common as a fraction with a denominator of 100, we'll convert the fraction 37/50 to x/100. To convert 50 to 100, you multiply 50 by 2, so you are also going to multiply 37 by 2, which is 74. Now we have the fraction 74/100, so now since the fraction is over 100, we can convert it to a percentage.

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One of the parts of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator is divided by the denominator.

When a fraction of a whole is represented as a number between 0 and 100, it is called a percentage.

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Answers

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Answers

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