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Ivenika [448]
3 years ago
13

The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.

Mathematics
1 answer:
muminat3 years ago
8 0
Area =72 sq. cm

length = x+6

Width = x

l×b = Area
(x+6)x =72
x2 +6x=72
x2+6x-72=0
x2+12x-6x-72=0
x (x+12) -6 (x+12)=0
(x+12) ( x-6) =0
x=-12, x=6

since width can't be negative , the answer is x=6.

therefore, the width is 6cm
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Is there any other information given on this?

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3 years ago
Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t
tatiyna

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

6 0
3 years ago
I’ll give you all my love and affection if you help me with this ASAP PLEASE ;)
guapka [62]
Answer: (12,0)


Steps:

First, put the equation in slope-intercept form.

y=mx+b

1.5x + 4.5y =18

Subtract 1.5x from both sides.

4.5y =-1.5x +18

Divide both sides by 4.5 to isolate y.

y = -1/3x + 4


Then replace y with 0 because the point for the x-intercept is exactly on the x-axis so the y=0.

0 = -1/3x + 4

Subtract 4 from both sides

-4 = -1/3x

Divide both sides by -1/3 to isolate the x

12=x
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3 years ago
The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers? 17
ioda

75=7^2+5^2+1^1\\\\ 7+5+1=13

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