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
ki77a [65]
3 years ago
9

The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2.

Mathematics
2 answers:
andre [41]3 years ago
7 0

Answer:

  • 525 = (w+4)(w)
  • 21 ft by 25 ft

Step-by-step explanation:

Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...

  A = LW

  525 = (w+4)(w)

  w^2 +4w -525 = 0

  (w -21)(w +25) = 0 . . . . factor the above

Solutions are ...

  w = 21, w = -25

We are interested in the positive solution: w = 21.

The floor is 21 feet wide and 25 feet long.

_____

<em>Alternate solution</em>

Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...

  525 = (x-2)(x+2) = x^2 -4

  529 = x^2

  √529 = 23 = x

Then w=23 -2 = 21, and the length is w+4 = 25.

Semmy [17]3 years ago
7 0

Answer:

x = 21

x= -25

Step-by-step explanation:x^2+4-525=0

               x^21x+25x-525=0

           x{_x^2__ - __3.7__) +5^2 (_5^2.x___ -  _3.5^2.7____)

                  x                x                     5^2                   5^2

          x(x^2-1-(3.7))+5^2(x-(3.7))=0

             x(x-27)+5^2(x-21)=0

          (x-21)((x(_x-21_)  + _5^2(x-21)_)=0

                       x-21               x-21

(x-21)(x+5^2)=0

(x-21)(x+25)=0

x- 21 =0

x+25= 0

x-21+21=21

(x+25)-25=-25

x=21

x+25-25=-25

x= 21

x= -25

You might be interested in
if you have installed 4000 linear feet of 8 inch water pipe how much will it hold when full? (answe is 10,543) i need help writi
GuDViN [60]

Answer:

768,000\pi\ in^{3}  

Step-by-step explanation:

we know that

The volume of a cylinder (water pipe) is equal to

V=\pi r^{2}L

In this problem we have

r=8/2=4\ in -----> the radius is half the diameter

L=4,000\ ft ----> convert to inches

L=4,000*12=48,000\ in

V=\pi (4^{2}48,000)=768,000\pi\ in^{3}  

3 0
3 years ago
2a - 4b +3ab -5a +2b
DaniilM [7]

Answer:

-3a-2b+3ab

Step-by-step explanation:

2a-5a

-4b+2b

6 0
3 years ago
Read 2 more answers
The solution is (7,7)
Georgia [21]
B is the answer I chose but there are the steps so you can see how to solve it

8 0
2 years ago
F(x)=-2x -3 and g(x)=x^2 +5x,find g(2)-f(3)
Simora [160]

Answer:

f(3)= -9, g(2)=4

Step-by-step explanation:

F(3)= -2(3) -3

F(3)= -6 -3

F(3)= -9

G(2)= 2^2

G(2)= 2×2

G(2)= 4

6 0
3 years ago
At which x-values are the output values of the floor function g(x) = ?x? and the ceiling function h(x) = ?x? equal? Check all th
ElenaW [278]

Answer:

  -8, 0

Step-by-step explanation:

The floor and ceiling functions have equal values for any integer argument. Their value is that integer.

Among your answer choices, the integers are -8 and 0.

5 0
3 years ago
Other questions:
  • Evaluate the expression.
    9·1 answer
  • Myra wants to save at least $500 by the end of her summer vacation. She currently has $350 saved. She can earn $25 cutting a law
    15·2 answers
  • The mean family income for a random sample of 600 suburban households in Loganville shows that a 95 percent confidence interval
    5·1 answer
  • Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T
    15·2 answers
  • The water level at a pier is modeled by the function y= 2.5 cos(2pi/12.5) +12, where y represents the water level measured in me
    14·1 answer
  • Find the sum of the geometric series 1−0.99+0.99^2−0.99 ^3 +...−0.99
    13·2 answers
  • Which description best fits the graph?
    5·2 answers
  • Y=2x^2+12x+14 in vertex form
    10·1 answer
  • The coordinates of the two vertices of square QRST are Q(3.6, 2.1) and R(-5.4, 2.1) what is the length in units of each side of
    10·1 answer
  • The terminal side of an angle, Theta, whose sine value is One-half
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!