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motikmotik
2 years ago
11

Find the equation of a line passing through a point (3,5) and perpendicular to the line joining the points (3, 7) and (7, -1)

Mathematics
1 answer:
eduard2 years ago
7 0

Step-by-step explanation:

we start first by finding the gradient of the line

change in y/change in x

7-(-1)/3-7=8/-4

=-2

then for perpendicular lines m1m2=-1

therefore to find the gradient of that line

-2m2=-1

therefore m2=2

so therefore

y-5/x-3=2

so y-5=2x-6

y-2x=-1

in the form y= mx +c

then y=2x-1

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6/13 = 3/c how do I find the simple solution?
Setler [38]

So, 6 x c = 13 x 3;

Then, 6 x c = 39;

c = 39÷6;

c = 6.5;

3 0
3 years ago
Need some help on math
wariber [46]
N+7

Every time you add 7 you getbthat answer.
5 0
3 years ago
Read 2 more answers
A cargo plane flew roundtrip from Smithtown to Johnsville. It took one hour less time to get there than it did to get back. The
iren [92.7K]

Answer:

13 hours

Step-by-step explanation:

Average speed = Distance traveled / time taken

                   ⇒ Distance = Average speed × Time

                                     d = s × t

For the first trip;

Average speed = 280 mph

                          d₁ = 280t₁                    ------(1)

where;

d₁ is the distance covered to get to the destination

t₁ is the time taken to get to the destination

For the second trip;

Average speed = 240 mph

                           d₂= 240t₂                     ------(2)

where;

d₂ is the distance covered on the way back

t₂ is the time taken on the way back

The trip is the same distance to and fro. Therefore,

                           d₁ = d₂                              

Substituting the equation for d₁ and d₂

                          280t₁ = 240t₂              ------(3)

It took one hour less time to get there than it did to get back, then,

                                 t₁ = t₂ - 1

                                 t₂ = t₁ + 1                ------(4)

Substituting equation (4) into  equation (3)

                               280t₁ = 240(t₁ + 1)

                               280t₁ = 240t₁ + 240

                               280t₁ - 240t₁ = 240

                               40t₁ = 240

                                   t₁ = 240/40

                                   t₁ = 6 hours

From equation (4)

                                   t₂ = t₁ + 1

                                   t₂ = 6 + 1  

                                   t₂ = 7 hours

The total time for the trip is t₁ + t₂ = 6 + 7

                                       = 13 hours    

7 0
3 years ago
house numbers on one side of a street are consecutive even integers. the sum of the first three house numbers on the street is 6
Vanyuwa [196]
Consecutive even integers..x, x + 2, x + 4

x + (x + 2) + (x + 4) = 6216
3x + 6 = 6216
3x = 6216 - 6
3x = 6210
x = 6210/3
x = 2070

x + 2 = 2070 + 2 = 2072
x + 4 = 2070 + 4 = 2074 <===house 3
4 0
3 years ago
Correct answer only plz thanks!
saw5 [17]

Answer:

B) 66

Explanation:

angles E, C, B, and D are all the same angles. B is a 66 degree angle. meaning the rest are a 66 degree angle.

6 0
3 years ago
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