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
Anettt [7]
3 years ago
6

Last question of the day!!

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0

Answer:

Correct options are 2, 5 and 7.

Step-by-step explanation:

Consider the given vertices of triangle are A(-3,-3), B(-3,2) and C(1,2).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(-3-(-3))^2+(2-(-3))^2}

AB=\sqrt{(0)^2+(5)^2}

AB=\sqrt{25}

AB=5

Similarly,

BC=\sqrt{(1-(-3))^2+(2-2)^2}=4

AC=\sqrt{(1-(-3))^2+(2-(-3))^2}=\sqrt{16+25}=\sqrt{41}

From the above calculation it is clear that AC>AB and AC>BC.

According to Pythagoras theorem, in a right angle triangle, the square of largest side is equal to the sum of squares of two small sides.

hypotenuse^2=base^2+perpendicular^2

AC^2=(\sqrt{41})^2=41

AB^2+BC^2=(5)^2+4^2=24+16=41=AC^2

So, given triangle is a right angle triangle and AC is its hypotenuse.

Therefore, the correct options are 2, 5 and 7.

You might be interested in
If you have 4 gallons of sweet tea, how many cups is this?
Angelina_Jolie [31]

Answer:

64 cups of sweet tea

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
You roll a fair 6-sided die.what is P(roll a 2)?
Anton [14]

Answer:

it would be 1/6 there are a possible of 6 outcomes

Step-by-step explanation:

6 0
2 years ago
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the nu
Effectus [21]
14x+17y= total spent
7 0
3 years ago
How much is a milliliter
Sphinxa [80]
-- 236 of them make 1 cup
-- 946 of them make 1 quart
-- the volume of a tiny cube that's 1 centimeter along each edge
-- 16.4 of them in a little cube that's 1 inch along
-- 4.9 of them make a standard cooking teaspoon
-- a perfume that cost $50 an ounce would cost $1.69 per milliliter
3 0
3 years ago
Read 2 more answers
Anthony needs a new suit. He has a 20% off coupon that will be applied before a tax of 7.5% is applied to his total. How much wi
Ksju [112]
$236.50 is how much anthony would have to pay
7 0
3 years ago
Read 2 more answers
Other questions:
  • For any normal distribution, the probability of randomly selecting a z-score less than z = 1.40 is p = 0.9192.
    7·1 answer
  • Let f(x) = 4x – 1, h(x) = -x-1.<br><br> Find (f o h)(6)<br><br> (foh)(6) =
    9·1 answer
  • What is 2x x54 <br> people with the best answer get a friend reqised
    15·1 answer
  • 64^-3/2*1331^-1/3 evaluate
    12·1 answer
  • show one way to count from $82 to $512 without subtraction or multiplication, but on a number line? This is me tryin to understa
    5·2 answers
  • A collector bought a rare coin for $30. The coin is now valued at $37.50. What is the percent increase in value?​
    15·1 answer
  • Please hurry i need this fast
    6·1 answer
  • In a given year there is a 3% chance you will get in a small accident costing around $2000 and 0.1% chance you will get in a maj
    8·1 answer
  • Which expression is a difference of squares with a factor of 5x − 8? 25x2 − 16 25x2 16 25x2 − 64 25x2 64.
    14·1 answer
  • Which formula decribe the following geometric equence? Remember that n repreent the term number. 2, 6, 18, 54,. An = 3 · 2 n - 1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!