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
mrs_skeptik [129]
3 years ago
13

Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer th

an the other. To find the side lengths, he first writes the equation (x)(x+5)=66 and later simplifies (x-6)(x+11)=0 it to , where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply
Mathematics
1 answer:
Lorico [155]3 years ago
4 0

Answer:

<h2>The shorter side is 6 ft and the longer side is 11 ft</h2>

Step-by-step explanation:

The options are not given, but we could solve and arrive at an answer

say the shorter side is x

and the longer side is x+5

we know that the area of a rectangle is given as

x*(x+5)=66

open the bracket

x^2+5x=66

x^2+5x-66=0

Find two factors of  -66  whose sum equals the coefficient of the middle term, which is   5 .

the factors are 11 and -6

splitting the middle term using the two factors  11  and  -6

x2 +11x - 6x - 66=0

x(x+11)-6(x+11)=0

(x-6)=0

x=6

(x+11)=0

x=-11

The shorter side is 6 ft and the longer side is 11 ft

You might be interested in
GEOMETRY QUESTION, URGENT!
sp2606 [1]
A.) v/ \pi r=h
B.) h=2

8 0
3 years ago
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using fun
natka813 [3]
Question: Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using function notation.  Answer: This function can be written using the following function notation: f(x)=__ x + 4 ; f(x)= -3x+4
5 0
3 years ago
Read 2 more answers
Find the solution to each system by "GRAPHING"<br> y=x-3<br> y= -1/2x + 3
weeeeeb [17]

Answer:

x = -12

Step-by-step explanation:

6 0
3 years ago
Help please!! Need to get this right
Luda [366]
B is the general term of this progression.
7 0
3 years ago
Plz help<br><br><br>If x:6 as 3:9, then x is equal to
sladkih [1.3K]

Answer:

x/6 = 3/9

9x = 18

x = 2

Answer: 2:6 as 3:9

If x:6 as 3:9, then x is equal to  

---

Equation:

(x/6) = 3/9

x = 6(3/9)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The length of a rectangle is 4 inches less than its width, and its perimeter is 24 inches. Find the length and width of the rect
    14·2 answers
  • A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?
    8·1 answer
  • Please help me it’s number 31
    7·1 answer
  • If f (x) = x+5, g(x) =2x-3, h(x) =2×2 +7 x, -15, i(x) =x+2 find h(4)<br>​
    11·1 answer
  • Jeremy loves snowboarding. His favorite stunt is catching big air and jumping off the ramp while holding on to the snowboard. Je
    14·1 answer
  • the park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch.if he puts 300 sunfish into a pond, h
    5·1 answer
  • What is the cosine of b in this figure
    12·2 answers
  • What are two ways to find the slope of a line?​
    15·1 answer
  • RECRUITING Emily gets paid to recruit people to join an email list at work. If she signs up 5 friends and they all sign up 5 mor
    9·1 answer
  • Find the solution to the system<br> of equations. y=2x+3 y=-x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!