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
Mrac [35]
1 year ago
5

If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?

Mathematics
2 answers:
Zigmanuir [339]1 year ago
7 0

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

almond37 [142]1 year ago
5 0

Answer: A

Step-by-step explanation:

Using the distance formula,

AB=\sqrt{(5-1)^{2}+(-4-2)^{2}}=\sqrt{16+36}=2\sqrt{13}\\BC=\sqrt{(-3-5)^{2}+(-4-2)^{2}}=\sqrt{64+36}=10\\AC=\sqrt{(-3-1)^{2}+(2-2)^{2}}=4

From this, we can conclude that ABC is <u>scalene</u>.

You might be interested in
American cars use about 600 000 000 gallons of oil per year. How many liters of oil do American cars use per year? Report your a
fiasKO [112]
<span>1 Liter = 1.05 quart. 1/1.05 Liter = 1.05/1.05 quart = 1 quart. Replacing this value of quart in the equation below. 1 gallon = 4 quarts 1 gallon = 4 * 1/1.05 Liters 1 gallon = 3.80952380952 Total oil consumption per year in gallons is 600,000,00 So, total oil consumption per year in liters is obtained by: 600,000,000 * 3.80952380952 = 2285714285.71 liters Converting to scientific notation, we have 2.28571 * 10^9 liters.</span>
4 0
3 years ago
What is the equation of the line that passes through the points (-1,3) and (1,11)?
marta [7]

Answer:

y=4x+7

Step-by-step explanation:

You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)

11-3=8

1--1=2

8/2=4

Let's plug in a y value 3.

3=4*-1+b

b=7

Once you found b rewrite your equation in slope intercept form.

y=4x+7

You can check this equation by plugging in the unused coordinate (1,11) and find it balances.

7 0
3 years ago
A right triangle has a hypotenuse of length 9 inches. If one angle is 35 degrees, find the length of each leg.
Montano1993 [528]
<span>90 + 35 = 125.
180 -125 = 55 degrees.
 

4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches</span>
7 0
3 years ago
A new club sent out 172 coupons to boost sales for next year's memberships. They provided 3 times as many to potential members
cricket20 [7]

Answer: 172: 4= 43

43× 3= 129

172-129= 43

Odp.Wysłali 43 kupony do istniejących członków.

Step-by-step explanation:1.bo wysłali 3×wiecej i jeszcze są istniejący członkowie

2.ile wyslali potencialnym

3.i ile wyslali do istniejacych

4 0
3 years ago
Integration of ∫(cos3x+3sinx)dx ​
Murljashka [212]

Answer:

\boxed{\pink{\tt I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C}}

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\  dx

  • Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
  • Now , Rewrite using du and u .

\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I =  \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C }}}}}

6 0
3 years ago
Other questions:
  • What is 25% off of $120.00 plus 7.8 sales tax
    10·1 answer
  • How to change a decimal to a whole number for example 0.5
    14·2 answers
  • Please help it in fraction form
    12·1 answer
  • in a survey of 9000 people, 4000 likes tea,4500 like coffee. among them 2500 dont like tea and coffee. find number of people who
    10·2 answers
  • How many outfits can you get from 5 suits, 7 shirts, 4 ties and 6 hats
    7·1 answer
  • What is the value of 3 to the power 2 over 3 to the power 4
    15·2 answers
  • This morning, Raina's car had 18.18 gallons of fuel. Now, 5.7 gallons are left. How much fuel did Raina use?
    8·2 answers
  • HELP ASAPPP!!!! GIVING BRAINLIEST!
    13·1 answer
  • Given $f(x) = \frac{\sqrt{2x-6}}{x-3}$, what is the smallest possible integer value for $x$ such that $f(x)$ has a real number v
    11·1 answer
  • The Number of students in a chess club decrease from 30 to 14. What is the percent decrease? Round your answer to the nearest pe
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!