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
katen-ka-za [31]
3 years ago
9

A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

  c.  2.4 yards

Step-by-step explanation:

If x is the width of the walkway, then the total landscape area is ...

  (4.5 +x)(7.5 +x) = 68.31

This quadratic equation can be rearranged to standard form and solved in any of the usual ways.

  (x +4.5)(x +7.5) -68.31 = 0

  x² +12x -34.56 = 0

Using the quadratic formula, we have ...

  x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4

The positive solution is x = 2.4.

The width of the walkway is 2.4 yards.

_____

A graphing calculator or spreadsheet solver can also find the solution for you.

You might be interested in
Kelsey graphed the equation y = 3x + 1 as shown below.
USPshnik [31]

Answer:

D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

Step-by-step explanation:

The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1

However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;

m=Δy/Δx  where

m=the slope of the graph

Δy= 3-0 =3

Δx= 0--3 =3

m=3/3 = 1

The equation of the line should be;

m=Δy/Δx

1=y-3/x-0

1x= y-3

3+1x= y

y= 1x + 3 ----------where the slope is 1 and y-intercept is 3

So you can see here that in the original equation,<em> the slope m is 3 and y-intercept is 1 as shown in the first attached graph.</em>

While in the Kelsey's graph, <em>the slope is 1 and the y-intercept is 3 as in the second attached graph. </em>

<em>Thus, the correct answer is D : Kelsey graphed </em><u><em>the slope,3</em></u><em> as the </em><em>y-intercept </em><em>and the</em><u><em> y-intercept,1,</em></u><em> as the slope. </em>

Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.

Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3

Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.

4 0
3 years ago
Read 2 more answers
I need the value of x. 10x + 4 - 2x = 6x + 9 + 7
erastova [34]

Answer:

x = 6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which tribe belonged to the Iroquoian language group? A. Seminole B. Pequot C. Massachusett D. Cherokee E. Powhatan
mel-nik [20]
The answer would be A because Seminole just works
3 0
3 years ago
Read 2 more answers
if fred can blow up 20 balloons up in 15 minutes then how many balloons can fred blow up in 6 minutes ​
enyata [817]

Answer:

8

Step-by-step explanation:

have a good day

4 0
3 years ago
Read 2 more answers
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x-3)^2 + (y-7)^2=2
igomit [66]

Answer:

fourth option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y - 7)² = 2 ← is in standard form

with centre = (h, k) = (3, 7) and r² = 2 ⇒ r = \sqrt{2}

6 0
3 years ago
Other questions:
  • Two make ice cream for a family reunion frank used 6 cups of cream 1/2 gallon of gallon of milk. How many pints of cream and mil
    13·1 answer
  • Suppose given △ABD and △CBD.
    13·1 answer
  • Evaluate 20 x (32 – 4) : 50.<br> 20 x (32 - 4) = 50 =
    7·1 answer
  • 1. The midpoint of GH is (-2,3), and its endpoints are G (g,4) and H (-2,h). What are the values of g and h
    12·1 answer
  • A line passes through the point (–1,–2) and is perpendicular to the line with the equation y = –x – 1. What's the equation of th
    14·1 answer
  • Answer these questions pls
    11·1 answer
  • Please help me please
    10·1 answer
  • A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?
    15·2 answers
  • 5. The perimeter of a room is measured and found
    14·1 answer
  • Question 16 of 50
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!