1.Read the passage given below.

What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?

Kryger [21]

Given the coordinates of the three vertices of a triangle ABC,
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>

3 0

3 years ago

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Taylor is making a mini apple pie with a radius of 3.14 in for her math class. what is the area of her mini pie?

artcher [175]

So First of all we need to know how to find the area of a circle.

Assuming that the apple pie is the shape of a circle

The formula for area is $\pi$ $r^{2}$

Well we know that the radius = 3.14

And we know that $\pi$ = 3.14 as well.

All we have to do is multiply..

3.14 x $3.14^{2}$ = 30.95

So the area of the pie is 30.95 in

Good Luck! :)

3 0

3 years ago

Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals

trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

a)

The surface is given by the equation

f(x,y,z) = 0 where

$f(x,y,z)=-2x^2+2y^2-3z^2+3$

The gradient of this function is the vector

$(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)$

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

b)

The vectors with their tails at P are of the form

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

$(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3$

and the equation of the desired plane is

4x+4y+3z = -3

3 0

3 years ago

Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store regularly buys mangoes from

mihalych1998 [28]

Answer:

Step-by-step explanation:

Given that a convenience store regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects five mangoes from a box containing 20 mangoes for damages due to transportation. Suppose the chosen box contains exactly 2 damaged mangoes.

In the selected box 18 good mangoes and 2 damaged mangoes are there

a) Find the probability that the first mango is not damaged.

= prob of selecting 1 from any one of 18 good mangoes = $\frac{18}{20} =0.90$

b. Find the probability that neither of the mangoes is damaged. =

Prob of selecting 2 from 18 good mangoes

= $\frac{18C2}{20C2} =0.5276$

c. Find the probability that both mangoes are damaged.

= Prob of selecting 2 from 2 bad mangoes

= $\frac{2C2}{20C2} =0.005263$

6 0

3 years ago

Can a scatter plot show a linear association but neither a positive nor a negative association?

vodomira [7]

Yes, it's called no association.

I hope this helped! Please take the time to rate, pick the Brainliest answer (not necessarily mine!), and thank me if you feel I helped with this question! Thank you, it helps me a lot. :)

8 0

3 years ago

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