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
11111nata11111 [884]
3 years ago
13

∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices.

Mathematics
2 answers:
IgorLugansk [536]3 years ago
6 0
First, we need to remember that the distance between two points (x1, y1) and (x2, y2) can be calculated with √[ (x1 - x2)^2 + (y1 - y2)^2 ]. Thus, we apply this formula to measure the lengths of AB, BC, and AC in ∆ABC. AB = √[ (1 - -2)^2 + (7 - 2)^2 ] = √25 = 5 units BC = √[ (-2 - 4)^2 + (2 - 2)^2 ] = √36 = 6 units CA = √[ (4 - 1)^2 + (2 - 7)^2 ] = √25 = 5 units From this, we can clearly see that BC is the longest side of ∆ABC with a length of √36 = 6 units. Thus, the answer is B: 6. Since ∆ABC sides 5, 5, and 6. That makes it an isosceles triangle. Which makes the right answer to be B: isosceles. Now, if we form a new triangle, ∆ABD, with D at (1, 2), we have the following lengths: AB = 5 units BD = √[ (-2 - 1)^2 + (2 - 2)^2 ] = √9 = 3 units AD = √[ (1 - 1)^2 + (7 - 2)^2 ] = √25 = 5 units Similarly, since ∆ABD has sides with lengths of 5, 3, and 5. This means it is isosceles. The answer for this item is B: isosceles. We have shown above that AD is 5 units. Thus, answer is B: 5<span>.</span>
user100 [1]3 years ago
4 0

Answer:

BC is the longest side of ∆ABC with a length of 6 units.

The lengths makes it an isosceles triangle.

The new triangle is a Right Scalene

AD is 5 Units

Step-by-step explanation:

For Plato users, i just took the mastery test and got a 100. Struggle no more my people.

You might be interested in
The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d
Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

8 0
2 years ago
Last year, Lein earned $1,600 more than her husband. Together they earned $48,100. How much did each of them earn?
Illusion [34]
Lein earned $25,650
Her husband earned $22,450
5 0
2 years ago
Mitchell is hired to paint a mural on a wall with an area of 21 1/8 square yards. what is the length of the wall?
Pie

Answer:

I believe that something is missing.

Step-by-step explanation:

4 0
3 years ago
customers can pick up their own pumpkins at the great pumpkin patch. they pay $4 to enter the patch and $3 per round for the pum
gayaneshka [121]

y = 4 + 3x

4 being the entrance cost and 3x being the 3 dollars per pound

8 0
3 years ago
Read 2 more answers
Pls help (have a good day Jesus loves you:) :) .)
murzikaleks [220]

Answer:

4^6

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in
    14·2 answers
  • A triangular plot of land has one side along a straight road measuring 294 feet. a second side makes a 63degrees angle with the​
    14·1 answer
  • A pair of shoes costs $89.99. They are on sale for 30% off. The store charges a 6.5% sales tax. What is the final cost? Round to
    9·1 answer
  • Given the Arithmetic sequence A1,A2,A3,A4A1,A2,A3,A4
    10·1 answer
  • Half a number increased by seven is -2 find the number.
    13·1 answer
  • How many 1/6 pound hamburger can be made from 1/2 pound of hamburger meat
    7·2 answers
  • Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8
    12·2 answers
  • What is the solution to this equation?
    6·1 answer
  • ASAP please i need helppp
    13·2 answers
  • Help me pls plz please teachers math simple math lol ok smart wow cool points brainly tiktok
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!