1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andreev551 [17]
2 years ago
9

Please help worth 25 points

Mathematics
1 answer:
wariber [46]2 years ago
5 0

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

You might be interested in
Help me with math please i don't understand anything im stupid
Jet001 [13]
4.  one solution is (1, 3)

5. (1, -1)

7.  -5 = x + 3
 x = -5 - 3
 x = -8 

8.  z - 4 = -8
      z = -8 + 4
      z = -4
6 0
3 years ago
Simplyfy ( 7x-6)²+(7x+3)²​
Makovka662 [10]

Answer:

98x^2-42x+45

Step-by-step explanation:

7 0
2 years ago
Express the function graphed on the axes below as a piecewise function. ​
kobusy [5.1K]

Answer:

Step-by-step explanation:

3x+ 1/3     for x<= -1

6x-27    for x >4

3 0
3 years ago
If x^2+2=3^2/3+3^-2/3 then prove that 3x^3+9x-8=0​
gregori [183]

Answer:

See below.

Step-by-step explanation:

x^2 + 2 = 3^2/3 + 3^-2/3

x^2 = 3^2/3 + 3^-2/3  - 2

x =  √(3^2/3 + 3^-2/3  - 2)

x = 0.748888296

Substitute for x  in  3x^3 + 9x - 8:

3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.

So it is proved.

6 0
3 years ago
Read 2 more answers
Guide Questions:
Sphinxa [80]

Answer:

2. There are 5 students 14 years old 7 grade

5 0
3 years ago
Other questions:
  • How should i do this?
    15·1 answer
  • 1). What is the value of 3(x-4) + 3x’ when x=-2?
    7·2 answers
  • Paula sold 0.4 of her stickers.She gave her friend 2/5 of the remainder.Paula remained with 72 stickers.Calculate how many stick
    15·2 answers
  • Make p the subject, 4(p - 2q) = 3p + 2
    6·1 answer
  • Mark is 3 less than 4 times as old as tim. Together their ages total 42. How old is mark
    9·1 answer
  • PLEASE PLEASE HELP !!
    9·1 answer
  • If HF=4x+9, EF = 5x+3 , and EF is perpendicular to HF, solve for x.
    7·1 answer
  • 5. Higher Order Thinking Explain how to
    15·1 answer
  • Determine the slope 2,-4 and 2,6
    15·1 answer
  • Solve the eequation show all your work g + 5 = 7 1/5
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!