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mestny [16]
2 years ago
8

The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of

the rectangle is decreased by 1/3
a) form a quadratic equation ​
Mathematics
1 answer:
White raven [17]2 years ago
8 0

Answer:

Let the breadth is x, then the length is 3x.

<u>The area is:</u>

  • A = lw = 3x*x = 3x²

<u>The breadth is decreased by 2 m: </u>

  • w = x - 2

<u>The length is increased by 4m: </u>

  • l = 3x + 4

<u>The area is now:</u>

  • (x - 2)(3x + 4) = 3x² - 1/3(3x²)
  • 3x² +  4x - 6x - 8 = 2x²
  • x² - 2x - 8 = 0
  • x² - 2x + 1 = 9
  • (x - 1)² = 3²
  • x - 1 = 3
  • x = 4

The breadth was 4 m and the length  12 m

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Ken read 30 pages of a book on monday and 1/8 of the book on tuesday, he completed the remaining 1/4od the book on wednesday.how
dlinn [17]
Let the total amount of pages be t
t=30+1/8t+2/8t
now simplify
t=30+3/8t
5/8t=30
divide 30 by 5
1/8=6
now you know 1/8 of the book is 6 pages which means the whole book has 48 pages.

7 0
3 years ago
Which of the following points could you remove so that the resulting graph is the graph of a function?
larisa [96]

Answer:

(1, -3) can be removed so that the resulting graph represents a function. A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which is the value of x in the equation 5x= 15
MatroZZZ [7]
It is 3 because you take 5 times 3 and it equals 15
7 0
3 years ago
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Please help me with this
timama [110]

Answer:

m<1 = 45°  

m<2 = 76°

m<3 = 80°

Step-by-step explanation:

<u>Points to remember</u>

1). Vertically opposite angles are equal

2). Sum of angles of a triangles is 180°

<u>To find the measures of given angles</u>

From the figure we get,

m<1 = 45°   [Vertically opposite angles]

By using angle sum property <2 + 59 + 45 = 180

m<2 = 180 - 104

m<2 = 76°

Also m<1 + m<3 + 55 = 180

m<3 = 180 - (m<1 + 55)

 = 180 - (45 + 55)

 = 180 - 100

m<3 = 80°

5 0
3 years ago
Laura, Maria, and Nathan had 2 1 4 cups of milk to share for breakfast. Laura poured some milk on her breakfast cereal. Then she
ollegr [7]

The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups

<h3>How to calculate fraction</h3>

  • Total cups of milk to share = 2 1/4 cups

  • Laura = x

  • Maria = 2/3 cups

Total = Laura + Maria

2 1/4 = x + 2/3

2 1/4 - 2/3 = x

9/4 - 2/3 = x

(27-8) / 12 = x

19/12 = x

= 1 7/12

Therefore, the cups of milk Laura gave to Maria is 19/12 cups

Learn more about fraction:

brainly.com/question/11562149

7 0
1 year ago
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