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
DedPeter [7]
2 years ago
12

One vertex of an equilateral triangle is at the origin and the other vertex is at (3,4)

Mathematics
2 answers:
Keith_Richards [23]2 years ago
4 0

Answer:

(5 , 0)

Step-by-step explanation:

Illusion [34]2 years ago
3 0

Answer:

5 units

Step-by-step explanation:

Points:

  • (0, 0) and (3, 4)

The distance:

  • d= √(4-0)²+(3-0)² = √16+9= √25 = 5

Sides of the triangle are 5

You might be interested in
The following data was collected from a simple random sample of a population.
aivan3 [116]

Answer:

C

Step-by-step explanation:

This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.

Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:

10 C 6 = 10!(6!4!)

If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1

10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]

10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]

We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3

10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]

We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:

10 C 6 = 10*3*7*/1 = 210/1= 210

So, option C

5 0
3 years ago
Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12
borishaifa [10]
Implicit defferentation

remember that dy/dx y= dy/dx


so
take derivitive of both sides
2x+2y \space\ \frac{dy}{dx}=0
solve for \frac{dy}{dx}
minus 2x both sides
2y \space\ \frac{dy}{dx}=-2x
divide both sides by 2y
\frac{dy}{dx}=\frac{-2x}{2y}
\frac{dy}{dx}=\frac{-x}{y}

when is the slope equal to \frac{5}{12}
solve for \frac{dy}{dx}=\frac{5}{12}
\frac{dy}{dx}=\frac{5}{12}
\frac{5}{12}=\frac{-x}{y}
5y=-12x
y=\frac{-12}{5}x
find where the circle and this line intersects

substitute \frac{-12}{5}x for y
x^2+(\frac{-12}{5}x)^2=676
x^2+\frac{144}{25}x^2=676
\frac{25}{25}x^2+\frac{144}{25}x^2=676
\frac{169}{25}x^2=676
times both sides by \frac{25}{169}
x^2=100
sqrt both sides, take positive and negative roots
x=+/-10

sub back

y=\frac{-12}{5}x
y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)
y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}
y=-24 \space\ or \space\ 24

the points are (10,-24) and (-10,24)
8 0
3 years ago
Write the inequality that represents the​ sentence, ​"Four less than a number is greater than 58​."​
puteri [66]

Answer:

n-4>58

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find X<br> Please help asap!!
Law Incorporation [45]
I assume X= 100, since it look like 100 degree angle is equal to X angle
3 0
2 years ago
Read 2 more answers
Graph the absolute value function.<br> f(x)=|x+3|+2<br> vertex:?<br> table of values:?
adelina 88 [10]
1^o:Graph\ line\ x+3\ (red\ color)\\&#10;2^o:reflect\ negatives\ over\ x-axis\Rightarrow|x+3|(blue\ color)\\&#10;3^o:Raise\ the\ graph\ two\ units\ up.(green\ color)\\&#10;The\ rest\ is\ visible\ on\ the\ graph.

8 0
3 years ago
Other questions:
  • Two factors of 24 add up to 11 what are they
    10·1 answer
  • In
    6·1 answer
  • Solve the equation.<br> –10x +1+ 7x= 37<br> Ox= -15<br> Ox = -12<br> Ox = 12<br> Ox = 15
    14·2 answers
  • Select the factors of x2 - 14x + 49
    6·2 answers
  • Types of bonds are divided into three categories: good risk, medium risk, and poor risk. Assume that of a total of 11, 332 bonds
    11·1 answer
  • A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
    10·2 answers
  • Question 27(Multiple Choice Worth 1 points)
    15·1 answer
  • Tashi Beverages Ltd. company manufacture a coca
    12·1 answer
  • Which two integers does the square root of 99 lie between?
    12·1 answer
  • Judy has 2 3/4 bags of rock that she wants to use in her yard. Each bad will cover 310.2 sq ft. How many square feet will Judy b
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!