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azamat
3 years ago
5

the width of a rectangle is 2 m less than the length. if the area of the rectangle is 48sq meters. what is the length and width

​
Mathematics
1 answer:
ratelena [41]3 years ago
4 0
If the length= v
Then the width=v-2

Area= length x width
48= v(v-2)
48= v^2 -2v
v^2 -2v -48=0
(v-8)(v+6)=0
then v= 8 and v=-6
Since length cannot be negative so v=8
And width=v-2
= 8-2=6

So length= 8 m
Width= 6 m
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5/6(2x+12)-8=4-(x+1)
alekssr [168]

For this case we have the following equation:

\frac {5} {6} (2x + 12) -8 = 4- (x + 1)

We apply distributive property on the left side of the equation:

\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)

We simplify the left side of the equation:

\frac {5} {3} x + 10-8 = 4- (x + 1)

Different signs are subtracted and the major sign is placed.

\frac {5} {3} x + 2 = 4- (x + 1)

On the right side we must take into account that:

- * + = -

So:

\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x

We add x to both sides of the equation:

\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3

We subtract 2 from both sides of the equation:

\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1

We multiply by 3 on both sides of the equation:

8x = 3

We divide by 8 on both sides of the equation:

x = \frac {3} {8}

Thus, the solution of the equation is:

x = \frac {3} {8}

Answer:

x = \frac {3} {8}

4 0
3 years ago
1. If a - b = 4 and a + b = 12, what is the<br> value of a?
Nezavi [6.7K]

I think this is what you are looking for:

=−12

a

b

=

−

12

+=4

a

+

b

=

4

(+)2=42

(

a

+

b

)

2

=

4

2

2+2+2=16

a

2

+

b

2

+

2

a

b

=

16

∴2+2=16+2×12=40

∴

a

2

+

b

2

=

16

+

2

×

12

=

40

Now, (−)2=2+2−2=40+2×12=64

(

a

−

b

)

2

=

a

2

+

b

2

−

2

a

b

=

40

+

2

×

12

=

64

∴(−)=64‾‾‾√=±8

∴

(

a

−

b

)

=

64

=

±

8

So, 2−2=(+)(−)

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

2−2=(4)(±8)=±32

a

2

−

b

2

=

(

4

)

(

±

8

)

=

±

32

Hope that helps and sorry if it is confusing!

4 0
3 years ago
Read 2 more answers
How do I Factor -12 out of -24k + 120
Juli2301 [7.4K]

Answer:

-12(2k-10)

Step-by-step explanation:

You divide each term by -12, and then put -12 outside of the parenthesis. The parenthesis contain the new equation you just created.

4 0
3 years ago
Read 2 more answers
Must m, in the equation y=mx+b=, always be a positive number?
Nadya [2.5K]

Of course not. 

If the line rises higher as it goes from left to right,
then its slope ( 'm' ) is positive.

If it sinks lower as it goes from left to right,
then its slope ( 'm' ) is negative.

8 0
3 years ago
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4 x 5 - (2² - 2) =? <br> (18 ÷ 3) + (3² - 7) =?
OverLord2011 [107]
4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8
7 0
3 years ago
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