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Korolek [52]
2 years ago
15

Last year, Gareth paid £e each month for electricity. This year his monthly payment went down. His total bill for the first 5 mo

nths is given by the expression £5e – 35. Factorize 5e – 35.
Mathematics
1 answer:
ad-work [718]2 years ago
7 0

Answer:

5(e-7)

have a nice day mate

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What does 3w =30 mean a. 6 b.9 c.10 d.12
PolarNik [594]

Answer:

w = 10

Step-by-step explanation:

3w = 30

Divide each side by 3

3w/3 = 30/3

w = 10

8 0
2 years ago
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Please help me <br> 30 points <br> Show you work
GenaCL600 [577]

Answer:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.

(b) Write and expression for the slope of line r:

(k-n)/(j-m)

(c) Write and expression for the slope of line s:

(k-n)/(j-m)

(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

The coordinates of P'' are:

P''=(m,n+ϴ-3)

Step-by-step explanation:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.


(b) Write and expression for the slope of line r.

Line r goes through the points:

P=(m,n)=(xp,yp)→xp=m, yp=n

Q=(j,k)=(xq,yq)→xq=j, yq=k

Slope of line r is:

mr=(yq-yp)/(xq-xp)

Replacing the coordinates, the expression for the slope of line r is:

mr=(k-n)/(j-m)


(c) Write and expression for the slope of line s.

Line s goes through the points:

P'=(m,n+ϴ)=(xp',yp')→xp'=m, yp'=n+ϴ

Q'=(j,k+ϴ)=(xq',yq')→xq'=j, yq'=k+ϴ

Slope of line s is:

ms=(yq'-yp')/(xq'-xp')

Replacing the coordinates, the expression for the slope of line s is:

ms=[(k+ϴ)-(n+ϴ)]/(j-m)

Eliminating the parentheses in the numerator:

ms=[k+ϴ-n-ϴ]/(j-m)

Simplifyng:

ms=(k-n)/(j-m)


(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

3 units down, then change only the ordinate y:

P''=(xp',yp'-3)

Replacing xp' and yp':

P''=(m,n+ϴ-3)


7 0
3 years ago
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PRAGYA PLEASE HELP ME! (y-3)(y+4)?
Gemiola [76]

Answer:

y^2+y-12

Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

y^2+y-12

5 0
3 years ago
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Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the
Arada [10]

Answer:

th answer i think is thirty

Step-by-step explanation:

30 + 10 = 40 and it said at most $50

tell me if i'm wrong

3 0
3 years ago
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[3 - (4 + 32 * 8) ÷ 4] =
serg [7]
<span>[3 - (4 + 32 * 8) ÷ 4] 
=</span>[3 - (4 + 4) ÷ 4] 
= 3 - 8 ÷ 4
= 3 - 2 
= 1
7 0
2 years ago
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