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Step2247 [10]
3 years ago
15

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

allel 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?

Mathematics
1 answer:
Aleks [24]3 years ago
6 0
The equation of the line segment through A and B is given as
-7x + 3y = -21.5

In standard form,
3y = 7x - 21.5
  y = (7/3)x - 7.1667
Line AB has a slope of 7/3.

Let the equation of line segment PQ be
y = mx + b

Because line segments AB and PQ are perpendicular, therefore
(7/3)*m = -1
m = -3/7

The equation of PQ is 
y = -(3/7)x + b
To find b, note that the line passes through the point (7,6). Therefore
6 = -(3/7)*7 + b
6 = -3 + b
b = 9
The equation of PQ is
y = - (3/7)x + 9
or
7y = -3x + 63
3x + 7y = 63

Answer: 3x + 7y = 63

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Katarina [22]

Answer:

Angle 1 - 51

Angle 2 - 39

Angle 3 - 90

Angle 4 - 51

Angle 5 - 17

Angle 6 - 129

Step-by-step explanation:

Angle 1 = 180 - 90 - 39 = 51

Angle 2 = 90 - Angle 2 (51) = 39

Angle 3 = 90

Angle 4 = 180 - Angle 2 (39) - Angle 3 (90) = 51

Angle 5 = 180- 90 - 34 -39 = 17

Angle 6 = 180 - Angle 4 (51) = 129

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3 years ago
How to solve 1542-517=
musickatia [10]

Answer:

1025

Step-by-step explanation:

1542-517=1025

7 0
3 years ago
Read 2 more answers
Area of a circular ring: A = 4<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " alt=" \pi " align="a
OleMash [197]
1a)      A = 4πpw
      /4πw = /4πw
  A / 4πw = p

1b) A = 4πpw
     22 = 4πp(2)
       p = 11/4π (≈0.87)

2a)        P = 2πr + 2x
      P - 2x = 2πr
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      440 = 2πr + 2(110)
          r = 110/π (≈35.014)
      

      
8 0
3 years ago
Something divided by something equals 132
natta225 [31]
11 x 12 =132
i think this is the right answer
8 0
3 years ago
2748 mile flight 6 hours
Karo-lina-s [1.5K]
We Know, speed = Distance / Time
Here, Distance = 2748 miles
Time = 6 hours

Substitute their values in to the expression,
Speed = 2748 / 6 = 458 Miles / Hour

So, the speed would be: 458 miles/hour

Hope this helps!
7 0
3 years ago
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