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statuscvo [17]
3 years ago
11

The perimeter of a rectangle is 40cm. If the length were doubled and the width halved, the perimeter would be increased by 16cm.

Find the dimensions of the original rectangle.
Please use system of linear equations by elimination OR substitution. I need the work as well please.
Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

The dimensions of the original rectangle are Length =12cm, Width=8cm

Step-by-step explanation

Let the length of the rectangle be x

Let the width of the rectangle be y

The perimeter of a rectangle is 40cm.

2(x+y)=40

Divide both sides by 2

x+y=20

If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm

Therefore:

Divide both sides by 2

From the first equation, x=20-y.

Substitute x=20-y into  

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Can someone please tell me what goes in the y spot
Nostrana [21]

Answer:

Step-by-step explanation:

Given the function

y = —⅔x + 7

The domain of the function is

The input,

x = { -12, -6, 3, 15}

When x = -12 what is y

y = —⅔x + 7

y = — ⅔ × — 12 + 7

Note that, - × - = +

y = 8 + 7

y = 15

Then, when x = -12, y = 15

When x = -6

y = —⅔x + 7

y = — ⅔ × — 6 + 7

Note that, - × - = +

y = 4 + 7

y = 11

Then, when x = -6, y = 11

Also, x = 3

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y = — ⅔ × 3 + 7

Note that, -×+ = -

y = —2 + 7

y = 5

Then, when x = 3, y = 5

Also, x = 15

y = —⅔x + 7

y = — ⅔ × 15 + 7

Note that, - × + = -

y = — 10 + 7

y = —3

Then, when x = 15 , y = —3

Check attachment

This is one to one mapping

x= -6 y= 11

x= 3 y= 5

x= 15 y= -3

x= -12 y=15

6 0
3 years ago
Read 2 more answers
given MP m(-12 -5) and p(9,-12) if N lies on MP such that the ratio of MN to NP is 3:4, Find the coordinates of N
Nataly_w [17]

Answer:

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Step-by-step explanation:

Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

we have;

m = 3 and n = 4

M is (x1,y1) while N is (x2,y2)

we have;

(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)

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(x,y) = (-21/7 , -56/7)

(x,y) = (-3,-8)

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