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
mel-nik [20]
3 years ago
11

If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than

half the length of the house, what is the expression for the area of the garden? *
Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

A(h)  =  h²/2 - 6*h + 10

Step-by-step explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2  and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h)  =  ( h - 2 )* ( h/2 -5 )

A(h)  = h²/2 - 5*h - h + 10

A(h)  =  h²/2 - 6*h + 10

You might be interested in
How to reflect over y axis in an equation?
iren [92.7K]
<span>1)  y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).)  That is for every point (x, y) there is a point (x, -y).
</span><span>2)  y = |f(x)| means that the entire graph will be above the x-axis.  Why?  (The absolute value is always positive, that's why!!)<span>  To graph the absolute value graph, graph the function y = f(x).  Anything above the x-axis, stays above it, anything below the x-axis is reflected above the x-axis and anything on the x-axis, stays on the x-axis.
</span></span><span>3)  y = f(-x)  (This is reflection about the y-axis of the graph y = f(x))  For every point on the right of the y-axis, there is a point equidistant to the left of the y-axis.  That is for every point (x, y), there is a point (-x, y).  
</span><span>4)  Reflections about the line y = x is accomplished by interchanging the x and the y-values.  Thus for y = f(x) the reflection about the line y = x is accomplished by x = f(y).  Thus the reflection about the line y = x for y = x2 is the equation x = y2. </span>
7 0
3 years ago
Which choices are equivalent to the expression below? Check all that apply.
JulsSmile [24]

Answer:5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
What is the constant of variation for the relationship f(x)=30x
elixir [45]
B)30.................
3 0
3 years ago
Read 2 more answers
On a coordinate plane the coordianits of vertices the and t for a polygon are r(-7,3) and r (3,3) what is the length of side rt
NemiM [27]

The length is 10.


Since the two points share the same y-coordinate, the segment rt is horizontal.


This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.


So, we have


\overline{RT} = |-7-3| = |-10| = 10

6 0
3 years ago
Read 2 more answers
Other questions:
  • Determine whether the data described below are qualitative or quantitative and explain why.The shoe sizes left parenthesis such
    6·1 answer
  • If the graph of the function h defined by h(x)=-3x^2+3 is translated vertically upward by 3 units , it becomes the graph of a fu
    8·1 answer
  • What is the solution to the equation 3(2x+5) = 3х+4x?
    13·2 answers
  • A continuous function y=f(x) is known to be negative at x=0 and positive at x=1. Why does the equation f(x)=0 have at least one
    10·2 answers
  • Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups un
    9·1 answer
  • 80 people attended a meeting. There was x men and x women and the rest were children. How many children attended the meeting
    13·1 answer
  • What should be the value of x so that the three consecutive terms will be in GP 2x+2, 16 and 64x. Also find the sum of first 10
    7·1 answer
  • What is ten subtracted the difference of quadruple a number and the same number in expression form
    11·1 answer
  • Lonnie plans to join the gym. He must pay a $35 membership fee. He will
    6·1 answer
  • All items in a clothing store are on sale for the same percentage off the original price.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!