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
padilas [110]
3 years ago
10

A triangle with two vertices located at (5, −8) and (5, 4) has an area of 48 square units. Determine one possible location of th

e other vertex.
Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:x=1.5

Step-by-step explanation:

Given

Two points co-ordinates are given

A=(5,-8)

B=(5,4)

let other point be C =(x,y)

Area of triangle is given by

A=\begin{vmatrix}5& -8&1\\5& 4&1\\x& y&1\end{vmatrix}

A=5\left ( 4-y\right )+8\left ( 5-x\right )+1\left ( 5y-4x\right )

A=20-5y+40-8x+5y-4x

A=60-8x

and A=48 square unit

48=60-8x

x=1.5

As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit

You might be interested in
The market value of Bryan's home is $389,000. The assessed value is $312,000. The annual property tax rate is $18.60 per $1,000
Scilla [17]

Answer:

$5803.20

Step-by-step explanation:

6 0
3 years ago
The height of a triangle is 15cm, the base is 40cm and the other two side are 25cm.
morpeh [17]
The formula for the area of a triangle is base*height/2. So lets input the number.

15*40=600/2=300 cm2
6 0
3 years ago
A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0
1 year ago
Evaluate<br> 12: (2+2)<br> 67<br> 4<br> 3<br> 111<br> Help me and I will give u 20 points
Oxana [17]

Answer:

it is 27/16 or 1 11/16

Step-by-step explanation:

4 0
2 years ago
The perimeter is 22 how much bigger is the longest side than the shortest side
____ [38]
2 is the shortest and 11 is the longest
3 0
2 years ago
Other questions:
  • The equation A= 1750(1.04)^t represents an account balance t years after the account was created. Which statement is correct?
    7·1 answer
  • The perimeter of a rectangle is 24 feet. The length is 3 feet less than twice the width. Which of the following systems would be
    9·1 answer
  • Describe how you can find the prime factorization of a number.
    11·1 answer
  • Find the area of each regular polygon. Round your answer to the nearest tenth. Show your work.
    13·2 answers
  • What is 0.003is 1/10 of
    8·1 answer
  • Calculate the length of the unknown side of this right angled triangle
    6·1 answer
  • in a 30-60-90 triangle, the length of the side opposite the 30 angle is 8. find the length of the side opposite the 60 angle
    15·1 answer
  • Amanda has a recipe that requires 3 1/2 cups of milk. If she is only making 2/3 of the recipe, how many cups of milk will she ne
    12·1 answer
  • A motorboat travels 244 kilometers in 4 hours going upstream and 665
    14·1 answer
  • Write an equation of the line that passes through the point (4, –5) with slope 2.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!