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
ra1l [238]
2 years ago
10

ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices

Mathematics
1 answer:
tekilochka [14]2 years ago
6 0

<u>Part 1</u>

Using the distance formula,

AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}

So, the measure of the longest side is 6 units.

<u>Part 2</u>

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that AB=\sqrt{34}

Using the distance formula,

AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3

So, ABD is a scalene triangle.

<u>Part 3</u>

From part 2, we know that the length of side AD is 5 units.

You might be interested in
HELP!!!!!!!!!!!!!!!!!!!!
Alla [95]
No. The input a has multiple outputs
7 0
3 years ago
Read 2 more answers
Which proportion can be used to find 65% of 90?
ra1l [238]
X 65%
———— = ———-
90 100

1) multiply across
90 • 65 = 5,850

2) divide what’s left over.
5,850 / 100 = 58.5
3 0
3 years ago
What is the area of a square when the side length is 2/3cm
Leviafan [203]

\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=\frac{2}{3} \end{cases}\implies A=\left( \cfrac{2}{3} \right)^2\implies A=\cfrac{2^2}{3^2}\implies A=\cfrac{4}{9}

7 0
3 years ago
Solving systems of equations by graphing
Ipatiy [6.2K]

Answer:

Hi! The correct answer is x = -1 y = -1 and the ordered pair is (-1,-1)

Step-by-step explanation:

<em><u>~Solve the first variable in one of the equations, then substitute the result into the other equation~</u></em>

7 0
3 years ago
Match each statement with its corresponding value for the system below:
Mandarinka [93]

Answer:

1. 1 point

2. The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution = -16/17

Step-by-step explanation:

Given that the equation is of the form;

y = -2³×x and y = 9·x - 2, we have;

y = -8·x and y = 9·x - 2

1. Given that the two lines are straight lines, the number of points of intersection is one.

2. The x-coordinate of the solution

To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;

-8·x = 9·x - 2

-8·x - 9·x=  - 2

-17·x = -2

x = 2/17

The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution

y = 9·x - 2 = 9×2/17 - 2 = -16/17

y = -16/17

The y-coordinate of the solution = -16/17.

8 0
3 years ago
Other questions:
  • Fred is a server at a restaurant. On average, he can serve 6 tables per hour. Fred earns between $3.08 and $5.23 in gratuity per
    6·1 answer
  • Work out the number that is halfway between 27 times 38 and 33 times 38.
    9·1 answer
  • Student identification codes at a high school are 4-digit randomly generated codes beginning with 1 letter and ending with 3 num
    10·1 answer
  • What is 1,289,845 rounded to the nearest ten thousand?
    7·1 answer
  • ...........................
    14·1 answer
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
    12·1 answer
  • 5(–9a–1)+7?<br> so<br> me<br> on<br> e <br> an<br> sw<br> er<br> pl<br> ea<br> se
    12·2 answers
  • (2,-3) and (4, 8)<br> Slope = _
    6·2 answers
  • Please write a word problem to represent 5÷ 1 and 1 half
    14·2 answers
  • Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!