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
son4ous [18]
3 years ago
13

A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the

first two fence posts at (6, 0) and at (0, 25). The final fence post is on the property line at x = 30. Find the point where the trainer can place the final fence post.
Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

C = (30,500)

Step-by-step explanation:

Given

Area = 1800ft^2

A = (6,0)

B = (0,25)

C(x,y) = (30,y)

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}

This gives:

1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}

1800= \frac{|6(25 - y) + 30(0- 25)|}{2}

1800= \frac{|6(25 - y) + 30(-25)|}{2}

1800= \frac{|150 - 6y -750 |}{2}

1800= \frac{|150  -750- 6y |}{2}

1800= \frac{|-600- 6y |}{2}

Multiply through by 2

2 * 1800= |-600- 6y|

3600= |-600- 6y|

3600= |-(600+ 6y)|

3600= 600+ 6y

Solve for 6y

6y = 3600 - 600

6y = 3000

Solve for y

y = 3000/6

y = 500

Hence:

The point is:

C = (30,500)

You might be interested in
Which is the graph of y–3= - 2/3 (x + 6)?
NikAS [45]

Answer:

2 over 3

Step-by-step explanation:

4 0
3 years ago
I have to explained it in words pls help
lys-0071 [83]

9514 1404 393

Answer:

  • slope: cost per mile
  • y-intercept: fixed base cost

Step-by-step explanation:

The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.

When the number of miles driven is zero, the rental cost is ...

  y = 2.25×0 +70

  y = 70

The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.

__

If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)

6 0
2 years ago
How to solve -x^2-2x+1
Wittaler [7]

Answer:

Common factor

Factor by grouping

Factor by grouping

−

2

−

2

+

1

-x^{2}-2x+1

−x2−2x+1

−

1

(

2

+

2

−

1

)

{\color{#c92786}{-1(x^{2}+2x-1)}}

−1(x2+2x−1)

Solution−

-1(x²+ 2x-1 )

5 0
3 years ago
How do you factorise 14x -21xy
alexandr402 [8]
<span>Simplifying 14x + -21xy
 
Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -3y)

Final result:
7x(2 + -3y)
 
that is the answer on how to do it</span>
4 0
3 years ago
Read 2 more answers
84% of 72 with work. (Plz Help ) btw my name is Hannah
atroni [7]

Answer:

The answer is 60.48

Step-by-step explanation:

In order to find this, simply multiply the two terms together.

84% * 72

.84 * 72

60.48

8 0
3 years ago
Other questions:
  • Solve this equation for<br> a. A ÷ 2 = 4<br> a. 8<br> B. 2<br> C. 6<br> D. 4
    13·2 answers
  • A number h is tripled and then decreased by 8
    8·2 answers
  • Write in least to greatest order 0.56, 4.56, 0.65
    13·2 answers
  • a car rental company charges a rental free of $20 per day in addition to a charge of $0.30 per mile driven . how much does it co
    10·1 answer
  • A particle traveled the distance of 6.6×<img src="https://tex.z-dn.net/?f=10%5E%7B-19%7D" id="TexFormula1" title="10^{-19}" alt=
    15·2 answers
  • Can someone help me with this math qt
    12·1 answer
  • Determine whether the relation represents a function. If it is a function, state the domain and range.
    13·1 answer
  • 800 children a day ride on the roller coaster, but another 200 are turned away because they're not tall enough. What proportion
    13·2 answers
  • Can u guys give me kobe faimley fun facts PLZZ
    9·1 answer
  • The product of a number and 5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!