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wolverine [178]
3 years ago
10

ABCD is a rectangle. A, E and B are points on the straight line L with equation x + 3y = 18. A and D are points on the straight

line M. AE = EB. Find the equation for M in the form y = ax + b where a and b are integers
Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

If  B  is the  x-intercept and  E  is the  y-intercept of  x + 3y  =  18 , then

point B  =  (18, 0)       and       point E  =  (0, 6)

Then...

point A  =  (-18, 6+6)  =  (-18, 12)

Line M  is perpendicular to line L.

slope of line L  =  -6/18  =  -1/3   so..

slope of line M  =  3

So line M passes through the point  (-18, 12)  with a slope of  3 . So the equation of line M is...

y - 12  =  3(x - -18)

y - 12  =  3(x + 18)

y - 12  =  3x + 54

y  =  3x + 66

Step-by-step explanation:

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Walter has 124 bills consisting of 5 dollar bills and 10 dollar bills. If his total amount of money is $840, how many bills of e
Romashka [77]
For this question here are the formulas,
Let T be the number of 10's
Let F be the number  5's

Let us find the 10's first by this formula.
<span>5(124 - T) + 10T = 840
</span>620-5T + 10T = 840
then
5T = <span>220
</span>5        5

T=44
<span>Now let's find the F using this formula.
</span>
5F + 10T = 840
Sustitute T 
5F + 10(44) = 840
<u>5F</u> = <u>400
</u>5         5
F = 80

to Check 
F + T = 124
80 + 44 = 124

8 0
3 years ago
4 cents per day equals blank dollars per day
Oksana_A [137]
.04 dollars per day is what it eqqualz
3 0
4 years ago
Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hours. How far and
mylen [45]

Answer:

Step-by-step explanation:

The scenario is illustrated in the attached photo.

Desiree drove north for 30 minutes at 50 miles per hour.

Distance = speed × time

Distance travelled by Desiree to the north is 50 × 30 = 1500 miles

Distance travelled by Desiree back from the north and to the south is

60 × 20 = 1500 miles

She started from south and drove 1500 miles towards the north. She returned by driving 1200 miles again towards south . Distance of Desiree from where she started will be 1500 - 1200 = 300 miles.

She is 300 miles from her starting position and she is in the southern direction.

5 0
4 years ago
What’s the correct answer for this?
torisob [31]

Answer:

C: x = 10

Step-by-step explanation:

PO = QR (so having equal central angles)

Now

4x-11 = 2x+9

4x-2x = 9+11

2x = 20

Dividing both sides by 2

x = 10

8 0
3 years ago
Read 2 more answers
Solve the simultaneous equations<br> 2x-3y = 4<br> 4x - y = 13<br> 3 marks
Fudgin [204]

Answer:

X=7/2 Y=1

Step-by-step explanation:

4X-Y=13

4X-13=Y

2X-3(4X-13)=4

2X-12X+39=4

-10X+39=4

-10X=4-39

-10X=-35

X=7/2(-35/10)

Y=4(7/2)-13

Y=14-13

Y=1

3 0
2 years ago
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