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aleksandr82 [10.1K]
3 years ago
7

The length of a rectangle is 5m greater than its width and its area is 6m2. Find its dimensions.

Mathematics
1 answer:
Bingel [31]3 years ago
6 0

Answer:

Width = 1 m and length = 6 m

Step-by-step explanation:

Let b is the width of the rectangle.

Length = 5+b

The area of the rectangle, A = 6 m²

We need to find the dimensions of the rectangle. We know that, the area of a rectangle is given by :

A = lb

6=(5+b)b\\\\6=5b+b^2\\\\b=-6, b=1

Width of the rectangle = 1 m

Length of the rectangle = 5+b = 6 m

Hence, this is the required solution.

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Studentka2010 [4]
283 divided by 12.3 = 23.008 and rounded it will just be 23.
5 0
3 years ago
Determine the corresponding general form of each of the following vertex form
SSSSS [86.1K]

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

y =  \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x  + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24

A

8) y = (x + 3/2)² + 3/4

y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

4 0
2 years ago
Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
pashok25 [27]

Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

<u>x = 11.74</u>

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m

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Write an expression that is equivalent to 3y − 9.
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Answer:

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Step-by-step explanation:

just factor out the greatest common factor

7 0
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IrinaK [193]

Answer: 25 units

Step-by-step explanation:

distance with negatives is still an addition but you have to turn the negative into a positive to get the answer.

6 0
1 year ago
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