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
A⁵÷a³ help ASAP need for maths HW arrrrrgggghhh
miv72 [106K]

Answer:

a^{2}

Step-by-step explanation:

a^{5} /a^{3}

a^{5-3}

a^{2}

6 0
3 years ago
Read 2 more answers
Find the Domain of the following exponential and logarithmic equations and solve them:
kakasveta [241]

The base of a logarithm should always be positive and can't be equal to 1, so the domain is 0 < <em>x</em> < 1 or <em>x</em> > 1.

\log_{\frac1x}243=5

Write both sides as powers of 1/<em>x</em> :

\left(\dfrac1x\right)^{\log_{\frac1x}243}=\left(\dfrac1x\right)^5

Recall that a^{\log_ab}=b, so that

243=\left(\dfrac1x\right)^5

243=\dfrac1{x^5}

x^5=\dfrac1{243}

Take the 5th root of both sides, recalling that 3⁵ = 243, so

x=\sqrt[5]{\dfrac1{243}}=\boxed{\dfrac13}

5 0
3 years ago
The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
34kurt

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

3 0
2 years ago
Work out the area of a circle
stellarik [79]

Answer:

50.24

Step-by-step explanation:

A= πr2

314/100×4×4=50.24

5 0
3 years ago
Read 2 more answers
Im really bad in math so could anybody help me
Anna71 [15]

Answer:

B , D , A ,C

Step-by-step explanation:

PEMDAS

7 0
3 years ago
Read 2 more answers
Other questions:
  • Lauren owns a sign company. She borrows $75 000 to purchase a laser engraver. The
    5·1 answer
  • Find the slope of the line that passes through (4,5) and 1,2
    11·1 answer
  • Solve the inequality:2y-2&lt;14
    6·1 answer
  • Please help me asap!
    11·1 answer
  • A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When cons
    6·1 answer
  • What is the greatest common factor of:<br> 10 – 25t
    8·1 answer
  • LeAnn is purchasing.giftwrap for a box that measures 10 inches long, 6 inches wide, and 6 inches tall. Calculate the total area
    10·2 answers
  • Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the c
    12·2 answers
  • What dose each part of the equation represent? pls help
    12·1 answer
  • A stick of gum is 2 inches long. Are 10 sticks of gum longer than 3 feet? <br>​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!