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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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Peyton has collected 120 aluminum cans for recycling. If 20 cans will fit in each blue plastic bag, how many bags will she need
gogolik [260]

Hi Renee!

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We Know:

120 aluminum cans.

20 cans fit in each blue bag.

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Solution:

120 / 20 = 6

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Answer:

She will need 6 bags to carry all the aluminum cans.

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Hope This Helps :)

6 0
3 years ago
Grace rakes leaves everyday for one week. She fills the same number of bags with leaves on each of the 5 weekdays. She fills 11
svlad2 [7]

Answer:

3 bags per weekday

Step-by-step explanation:

Total bags of leaves at the end of the week = 26 bags

Bags of leaves she fills over the weekend = 11 bags

Bags of leaves she fills during weekdays = x bags

Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays

26 = 11 + x

Subtract 11 from both sides

26 - 11 = 11 - 11 + x

15 = x

x = 15 bags

If she fills the same number of bags with leaves on each of the 5 weekdays.

how many bags she filled each weekday.

Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays

= 15 bags / 5 weekdays

= 3 bags per weekday

7 0
3 years ago
Find the equation of a line that is parallel to the line x equals negative 1x=−1 and contains the point left parenthesis negativ
sineoko [7]
The equation of the line is given as y-x=-1

A straight line equation is given in the form y=mx+c where m is the gradient and c is the y-interest.

We need to rearrange y-x=-1 to make y the subject. 
y= x-1 ⇒ from here we can read the gradient and the y-intercept. The gradient, m=1 and c=-1.

<span>A line that is parallel to y=x-1 will have the same gradient, m=1 but different y-intercept. One example of equation of a line that is parallel to y=x-1 is y=x+3


</span>
8 0
3 years ago
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zavuch27 [327]
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8 0
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3241004551 [841]

Answer:

75 miles per hour

Step-by-step explanation:

ok divide 600 by 8

6 0
2 years ago
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