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
AURORKA [14]
3 years ago
6

The equation A = x(x-4) describes the area, A, of a rectangular flower garden, where x is the width in feet.

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

The flower garden width would be 6 ft

Step-by-step explanation:

A = 12 ft^2 = x(x + 4) becomes:

x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16

Taking the square root of both sides yields x + 2 = ±4.

In this context only a positive x value makes sense:  x = 2 + 4  =>  x = 6.

The flower garden width would be 6 ft.  The other dimension would be 6 - 4, or 2, ft.

You might be interested in
Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many
zmey [24]

Answer:

8 gallons

Step-by-step explanation:

#1: Set up a ratio from the recipe: gallons of punch to the number of people.

2 gallons 15 people

#2: Set up a ratio of gallons to the people coming to the party.

(Place the gallons on top) x gallons 60 people

#3: Set up a proportion 2 gallons       x gallons

                                       15 people  =    60 people

* Like units should be across from each other

4) Solve using the "lonely mate" formula

2 gallons           x gallons

15 people  =     60 people

2 x 60 = 120

120/15 = 8

This means she should make 8 gallons.

6 0
3 years ago
In which quadrant is sec e< 0 and tan e > 0?
iren2701 [21]

Answer:

C

Step-by-step explanation:

Because Tangent is positive in third quadrant

7 0
3 years ago
A local sporting event charges $6 for each adult ticket and $3.50 for each child ticket. If the stadium sold a total of 65 adult
tatyana61 [14]
45 adult tickets were sold.

adult tickets = a
childrens tickets = b

a + b = 65
6a + 3.5b = 340

Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a

Your final answer is a = 45
7 0
3 years ago
i am failing geometry and was wondering if my answers were right im really trying to get my grade up can someone please help tha
bagirrra123 [75]

Answer:

1)b

2)d)80/360×36π≈25.12cm²

4)d)32.5

5)c)135°

6)d)4π/3

Step-by-step explanation:

1) because as we know

Circle equation

=(x-a)²+(y-b)²=r²

=(x-5)²+(y+1)²=36 (given)

=(x-(+5))²+(y-(-1))²=6²

So

C(5,-1)and r=6

2)as we know area of sector

=Theta/360×πr²

=80/360×6²π

80/360×36×3.14

80/10×3.14

=25.12

4)to figure out 4 we have to separate the shape into 2 parts

First  semi-circul

Second rectangle

So the parameter of the shape

=Circumference of semi-circul + the parameter of the rectangle

=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)

=[15.7+26.8]-10

=32.5

5)3π/4

3×180/4

540/4

135

6)240°

240°×π/180°

4π/3

7 0
3 years ago
How do you find the product for 2x0.8 and draw a quick picture
Artist 52 [7]
You find the product of 0.8x2 by doing this: (Image)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to t
    6·2 answers
  • In the formula C = 2r, C stands for
    13·2 answers
  • Suppose at a college, gpa’s are normally distributed with a mean of 2.9 and a standard deviation of 0.5. approximately what perc
    6·1 answer
  • Joe wanted to know more about how the cost of fertilizer for his lawn-care business was changing.  The cost of a bag of fertiliz
    13·1 answer
  • 10.35035 TVs were manufactured by a company. About 9000 TVs were sold during the
    15·1 answer
  • Sarah used 3 pound of blueberries to make 1 cup of jam. How many pounds of blueberries would she need
    15·1 answer
  • Find the missing side length on the triangle. 21 yd 28vd​
    8·1 answer
  • Two babies, Carter and Alyssa, were due on the same day, Carter was born 9 days before his due date, if Alyssa was born 2 weeks
    13·1 answer
  • The diameter and height of this cylinder are equal to the side length, s, of the cube in which cylinder is inscribed. What is th
    10·1 answer
  • HELP I AM TAKING A MATH TEST! <br><br> -10-(-3)=? explain how you solved this is 2 or 3 sentences
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!