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
Tju [1.3M]
3 years ago
14

What is the distance between (5,8) and (2,4) by using distance formula

Mathematics
2 answers:
Dimas [21]3 years ago
7 0

Answer:

Distance = 5

Step-by-step explanation:

D= sqrt (x1-x2)^2 + (y1-y2)^2

(5-2)^2 + (8-4)^2=3^2 + 4 ^2 = 9 +16 = 25

Sqrt of 25 = 5

Distance = 5

Hope this helps

lord [1]3 years ago
3 0

Answer:

d=3.605551

Step-by-step explanation:

d=(8−5)2+(4−2)2−−−−−−−−−−−−−−−√

d=(3)2+(2)2−−−−−−−−−√

d=9+4−−−−√

d=13−−√

d=3.605551

You might be interested in
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
3 years ago
How to convert numbers to scientific notation
Natalka [10]

To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.

2340000 = 2.34 x 10^6

0.000034= 3.4 x 10^-5

6 0
3 years ago
A rectangle has an area of 112 m2. The length is 12 m more than four times the width. What is the length of a diagonal of the re
tankabanditka [31]
The answer is 1,344 hope this helps
3 0
3 years ago
Use graph to answer question
slamgirl [31]

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

5 0
3 years ago
Which expressions are equal to 105?
Tamiku [17]

Answer:

103 and 102

Step-by-step explanation:

u add them together

6 0
3 years ago
Other questions:
  • The perimeter of a rectangle is 48 in. If the length is twice the width, what is the length of the rectangle? A. 64 in. B. 16 in
    7·2 answers
  • 1. Factor. 4x2 + 20x
    11·1 answer
  • Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 8x + 6
    10·1 answer
  • What is the name of a 21 sided polygon?
    14·2 answers
  • Which term completes the product so that it is the difference of squares?
    5·1 answer
  • Washington Middle School has a supply store for students. The graph shows the total sales of the supply store for each month ove
    14·1 answer
  • If DEF is the original and ABC is the image what is the scale factor of this dilation?
    6·1 answer
  • Pls help. I don’t know how to write the explanation
    15·2 answers
  • Distance between (-12, 2) (-9, 6)<br><br> please helpppp
    5·2 answers
  • Can anyone give me this answere
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!