Pamela is 9 years younger than Jiri. The sum of their ages is 67. What is Jiri's age?

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

2 years ago

Running at an average rate of 4 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the st

yaroslaw [1]

<h2>Length of track is 168 meter</h2>

Step-by-step explanation:

Let l be the length of track.

Running speed = 4 m/s

Jogging speed = 2 m/s

Total time taken = 2 minutes 6 seconds. = 126 seconds

That is

$\frac{l}{4}+\frac{l}{2}=126\\\\0.75l=126\\\\l=168m$

Length of track is 168 meter

5 0

3 years ago

The length of rectangle is 3 more than twice the width

kykrilka [37]

Answer:

The length of a rectangle is 3” more than twice the width. The area of the rectangle is 150 in^2. Find the dimensions of the rectangle.

Wyzant

MATH QUADRATIC FORMULA

Kyle C. asked • 05/05/16

The length of a rectangle is 3” more than twice the width. The area of the rectangle is 150 in^2. Find the dimensions of the rectangle.

ANSWER

ABOUT THIS TUTOR ›

We know that Area = Length x Width

in this case, L = 2W + 3 and A = 150in2

so, 150in2 = W x (2w + 3)

150in2 = 2W2 + 3W

rearranging, 2W2 + 3W - 150in2 = 0

we need to use the quadratic formula to solve this equation

that formula is [-b±(√b2 -4ac)]/2a

a = 2, b = 3, c = -150

inserting those values, we get [-3±(√32 -4•2•-150)]/2•2

which becomes (-3±√1209)/4

we get (-3 ± 34.771)/4

we can discard the negative value, because no length can be negative

so, W ≅ 7.942 inches

then L = 2W + 3 ≅ 18.886 inches

Proof: 7.942in x 18.886in ≅ 149.99

HOPE IT'S HELPFUL

THANK YOU

4 0

3 years ago

Identify the polynomial 4x3 + 6x2

Leona [35]

Answer:

4 x 3 + 6 x 2 has 4 terms so it's an quadrinomial

Step-by-step explanation:

D quadrinomial

5 0

3 years ago

A persons weekly pay directly proportional to the number of hours worked on Spee is $123.00 for 20 hours of work. Find amount of

wlad13 [49]

Answer:

$190.65

Step-by-step explanation:

123.00/20=6.15 per hour

6.15x31hours worked = $190.65

3 0

3 years ago