All categories

3 years ago

Fellow 9. What is the distance between (-3, 4) and (5, 1)?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

Answer: The exact distance is $\sqrt{73}$ units

The approximate distance is roughly 8.5440037 units

===========================================================

Explanation:

Use the distance formula

$(x_1,y_1) = (-3,4)\\\\(x_2,y_2) = (5,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-5)^2 + (4-1)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.5440037\\\\$

As an alternative, you can use the pythagorean theorem.

You might be interested in

Give an example and a NON example of a linear equation. Make sure you label which is which.

iogann1982 [59]

Answer

In linear equation, the highest power of x or any other variable is 1

E.g. 3x+5

Now

In a non-linear equation the highest power of x is more than 1.

E.g. x^2+1

x^4-x^3+x^2+10 etc.

4 0

4 years ago

Find the dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible. (Enter the dimensions as a

lozanna [386]

Given :

Area of rectangle.

To Find :

The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.

Solution :

Let, the dimensions of rectangle is x and y.

Area, A = xy.

x = A/y. ....1)

Perimeter, P = 2( x + y )

Putting value of x in above equation, we get :

$P = 2( y + \dfrac{A}{y})$

For minimum P,

$\dfrac{dP}{dx}=2( 1 - \dfrac{A}{x^2})=0\\\\A = x^2$

SO, it is a square.

$x=\sqrt{A}\\\\x=\sqrt{1728\ m^2}\\\\x=24\sqrt{3}\ m$

Therefore, the dimensions are $(24\sqrt{3},24\sqrt{3})$ .24\sqrt{3}

Hence, this is the required solution.

7 0

3 years ago

Find an equation of the plane tangent to the following surface at the given point.z equals tangent Superscript negative 1 Baseli

Sergeeva-Olga [200]

Let f(x, y, z) = z - arctan(x y). Compute the gradient of f at the point (0, 3, 0):

∇ f(x, y, z) = (-y / (1 + x²y²), -x / (1 + x²y²), 1)

∇ f (0, 3, 0) = (-3, 0, 1)

This vector is orthogonal to the surface z = f(x, y). Then the equation of the tangent plane is

∇ f (0, 3, 0) • (x, y - 3, z) = 0

(-3, 0, 1) • (x, y - 3, z) = 0

-3x + z = 0

z = 3x

5 0

3 years ago

How many cups of red paint would there if there was 1 cup of white paint

azamat

Answer:

Um.....there isnt enough information for anybody to really figure this out.

Step-by-step explanation:

7 0

3 years ago

eeek i have no idea what im doing and i have like ten more questions to answer :( and i have no idea what im doing

myrzilka [38]

Answer:

25/64

Step-by-step explanation:

C=πd

find diameter:

small= 15 x 15= 225

large= 24 x 24= 576

multiply:

225 x 3.14= 706.5

576 x 3.14= 1808.64

ratio:

706.5/1808.64

reduce:

25/64

4 0

3 years ago

Read 2 more answers